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Finding the Fourth Proportional to 9,135.92, 12,606.96 and 5,157.20

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Solution

The fourth proportional to 9,135.92, 12,606.96 and 5,157.20 is: 7,116.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,135.92 : 12,606.96 = 5,157.20 : x
  2. Step 2: Convert to fraction form
    9,135.92/12,606.96 = 5,157.20/x
  3. Step 3: Cross multiply
    9,135.92x = 12,606.96 × 5,157.20
  4. Step 4: Simplify right side
    9,135.92x = 65,016,614.11
  5. Step 5: Solve for x
    x = 65,016,614.11/9,135.92
  6. Step 6: Final answer
    x = 7,116.59

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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.