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Finding the Fourth Proportional to 9,025.92, 12,452.16 and 5,712

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Solution

The fourth proportional to 9,025.92, 12,452.16 and 5,712 is: 7,880.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,025.92 : 12,452.16 = 5,712 : x
  2. Step 2: Convert to fraction form
    9,025.92/12,452.16 = 5,712/x
  3. Step 3: Cross multiply
    9,025.92x = 12,452.16 × 5,712
  4. Step 4: Simplify right side
    9,025.92x = 71,126,737.92
  5. Step 5: Solve for x
    x = 71,126,737.92/9,025.92
  6. Step 6: Final answer
    x = 7,880.28

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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.