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Finding the Fourth Proportional to 9,897,714.90, 14,846,572.35 and 9,738,282.60

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Solution

The fourth proportional to 9,897,714.90, 14,846,572.35 and 9,738,282.60 is: 14,607,423.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897,714.90 : 14,846,572.35 = 9,738,282.60 : x
  2. Step 2: Convert to fraction form
    9,897,714.90/14,846,572.35 = 9,738,282.60/x
  3. Step 3: Cross multiply
    9,897,714.90x = 14,846,572.35 × 9,738,282.60
  4. Step 4: Simplify right side
    9,897,714.90x = 144,580,117,185,646.09
  5. Step 5: Solve for x
    x = 144,580,117,185,646.09/9,897,714.90
  6. Step 6: Final answer
    x = 14,607,423.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.