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Finding the Fourth Proportional to 9,057.72, 12,493.89 and 6,543.52

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Solution

The fourth proportional to 9,057.72, 12,493.89 and 6,543.52 is: 9,025.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,057.72 : 12,493.89 = 6,543.52 : x
  2. Step 2: Convert to fraction form
    9,057.72/12,493.89 = 6,543.52/x
  3. Step 3: Cross multiply
    9,057.72x = 12,493.89 × 6,543.52
  4. Step 4: Simplify right side
    9,057.72x = 81,754,059.25
  5. Step 5: Solve for x
    x = 81,754,059.25/9,057.72
  6. Step 6: Final answer
    x = 9,025.90

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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.