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Finding the Fourth Proportional to 9,892.46, 14,839.68 and 3,654.11

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Solution

The fourth proportional to 9,892.46, 14,839.68 and 3,654.11 is: 5,481.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,892.46 : 14,839.68 = 3,654.11 : x
  2. Step 2: Convert to fraction form
    9,892.46/14,839.68 = 3,654.11/x
  3. Step 3: Cross multiply
    9,892.46x = 14,839.68 × 3,654.11
  4. Step 4: Simplify right side
    9,892.46x = 54,225,823.08
  5. Step 5: Solve for x
    x = 54,225,823.08/9,892.46
  6. Step 6: Final answer
    x = 5,481.53

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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.