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Finding the Fourth Proportional to 9,863.12, 14,799 and 5,182.04

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Solution

The fourth proportional to 9,863.12, 14,799 and 5,182.04 is: 7,775.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,863.12 : 14,799 = 5,182.04 : x
  2. Step 2: Convert to fraction form
    9,863.12/14,799 = 5,182.04/x
  3. Step 3: Cross multiply
    9,863.12x = 14,799 × 5,182.04
  4. Step 4: Simplify right side
    9,863.12x = 76,688,935.97
  5. Step 5: Solve for x
    x = 76,688,935.97/9,863.12
  6. Step 6: Final answer
    x = 7,775.33

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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.