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Finding the Fourth Proportional to 9,225.86, 12,732.47 and 7,542.56

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Solution

The fourth proportional to 9,225.86, 12,732.47 and 7,542.56 is: 10,409.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,225.86 : 12,732.47 = 7,542.56 : x
  2. Step 2: Convert to fraction form
    9,225.86/12,732.47 = 7,542.56/x
  3. Step 3: Cross multiply
    9,225.86x = 12,732.47 × 7,542.56
  4. Step 4: Simplify right side
    9,225.86x = 96,035,317.55
  5. Step 5: Solve for x
    x = 96,035,317.55/9,225.86
  6. Step 6: Final answer
    x = 10,409.37

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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.