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Finding the Fourth Proportional to 9,882.30, 14,829.29 and 3,646.68

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Solution

The fourth proportional to 9,882.30, 14,829.29 and 3,646.68 is: 5,472.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,882.30 : 14,829.29 = 3,646.68 : x
  2. Step 2: Convert to fraction form
    9,882.30/14,829.29 = 3,646.68/x
  3. Step 3: Cross multiply
    9,882.30x = 14,829.29 × 3,646.68
  4. Step 4: Simplify right side
    9,882.30x = 54,077,657.02
  5. Step 5: Solve for x
    x = 54,077,657.02/9,882.30
  6. Step 6: Final answer
    x = 5,472.17

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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.