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Finding the Fourth Proportional to 9,142.72, 13,633.80 and 9,059.56

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Solution

The fourth proportional to 9,142.72, 13,633.80 and 9,059.56 is: 13,509.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.72 : 13,633.80 = 9,059.56 : x
  2. Step 2: Convert to fraction form
    9,142.72/13,633.80 = 9,059.56/x
  3. Step 3: Cross multiply
    9,142.72x = 13,633.80 × 9,059.56
  4. Step 4: Simplify right side
    9,142.72x = 123,516,229.13
  5. Step 5: Solve for x
    x = 123,516,229.13/9,142.72
  6. Step 6: Final answer
    x = 13,509.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.