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Finding the Fourth Proportional to 6,400.92, 9,615.90 and 5,526.12

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Solution

The fourth proportional to 6,400.92, 9,615.90 and 5,526.12 is: 8,301.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.92 : 9,615.90 = 5,526.12 : x
  2. Step 2: Convert to fraction form
    6,400.92/9,615.90 = 5,526.12/x
  3. Step 3: Cross multiply
    6,400.92x = 9,615.90 × 5,526.12
  4. Step 4: Simplify right side
    6,400.92x = 53,138,617.31
  5. Step 5: Solve for x
    x = 53,138,617.31/6,400.92
  6. Step 6: Final answer
    x = 8,301.72

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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.