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Finding the Fourth Proportional to 9,946.39, 14,897.98 and 9,669.91

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Solution

The fourth proportional to 9,946.39, 14,897.98 and 9,669.91 is: 14,483.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,946.39 : 14,897.98 = 9,669.91 : x
  2. Step 2: Convert to fraction form
    9,946.39/14,897.98 = 9,669.91/x
  3. Step 3: Cross multiply
    9,946.39x = 14,897.98 × 9,669.91
  4. Step 4: Simplify right side
    9,946.39x = 144,062,125.78
  5. Step 5: Solve for x
    x = 144,062,125.78/9,946.39
  6. Step 6: Final answer
    x = 14,483.86

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