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Finding the Fourth Proportional to 9,237.12, 12,738.57 and 7,354.92

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Solution

The fourth proportional to 9,237.12, 12,738.57 and 7,354.92 is: 10,142.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,237.12 : 12,738.57 = 7,354.92 : x
  2. Step 2: Convert to fraction form
    9,237.12/12,738.57 = 7,354.92/x
  3. Step 3: Cross multiply
    9,237.12x = 12,738.57 × 7,354.92
  4. Step 4: Simplify right side
    9,237.12x = 93,691,163.26
  5. Step 5: Solve for x
    x = 93,691,163.26/9,237.12
  6. Step 6: Final answer
    x = 10,142.90

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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.