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Finding the Fourth Proportional to 9,057.92, 12,494.62 and 5,695.40

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Solution

The fourth proportional to 9,057.92, 12,494.62 and 5,695.40 is: 7,856.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,057.92 : 12,494.62 = 5,695.40 : x
  2. Step 2: Convert to fraction form
    9,057.92/12,494.62 = 5,695.40/x
  3. Step 3: Cross multiply
    9,057.92x = 12,494.62 × 5,695.40
  4. Step 4: Simplify right side
    9,057.92x = 71,161,830.27
  5. Step 5: Solve for x
    x = 71,161,830.27/9,057.92
  6. Step 6: Final answer
    x = 7,856.31

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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.