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Finding the Fourth Proportional to 9,863.92, 13,605.96 and 7,500.88

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Solution

The fourth proportional to 9,863.92, 13,605.96 and 7,500.88 is: 10,346.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,863.92 : 13,605.96 = 7,500.88 : x
  2. Step 2: Convert to fraction form
    9,863.92/13,605.96 = 7,500.88/x
  3. Step 3: Cross multiply
    9,863.92x = 13,605.96 × 7,500.88
  4. Step 4: Simplify right side
    9,863.92x = 102,056,673.24
  5. Step 5: Solve for x
    x = 102,056,673.24/9,863.92
  6. Step 6: Final answer
    x = 10,346.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.