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Finding the Fourth Proportional to 9,234.62, 12,735.12 and 7,352.42

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Solution

The fourth proportional to 9,234.62, 12,735.12 and 7,352.42 is: 10,139.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,234.62 : 12,735.12 = 7,352.42 : x
  2. Step 2: Convert to fraction form
    9,234.62/12,735.12 = 7,352.42/x
  3. Step 3: Cross multiply
    9,234.62x = 12,735.12 × 7,352.42
  4. Step 4: Simplify right side
    9,234.62x = 93,633,914.89
  5. Step 5: Solve for x
    x = 93,633,914.89/9,234.62
  6. Step 6: Final answer
    x = 10,139.45

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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.