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Finding the Fourth Proportional to 9,641.04, 14,460.84 and 2,714.64

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Solution

The fourth proportional to 9,641.04, 14,460.84 and 2,714.64 is: 4,071.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,641.04 : 14,460.84 = 2,714.64 : x
  2. Step 2: Convert to fraction form
    9,641.04/14,460.84 = 2,714.64/x
  3. Step 3: Cross multiply
    9,641.04x = 14,460.84 × 2,714.64
  4. Step 4: Simplify right side
    9,641.04x = 39,255,974.70
  5. Step 5: Solve for x
    x = 39,255,974.70/9,641.04
  6. Step 6: Final answer
    x = 4,071.76

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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.