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Finding the Fourth Proportional to 9,234.53, 12,734.99 and 7,352.32

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Solution

The fourth proportional to 9,234.53, 12,734.99 and 7,352.32 is: 10,139.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,234.53 : 12,734.99 = 7,352.32 : x
  2. Step 2: Convert to fraction form
    9,234.53/12,734.99 = 7,352.32/x
  3. Step 3: Cross multiply
    9,234.53x = 12,734.99 × 7,352.32
  4. Step 4: Simplify right side
    9,234.53x = 93,631,769.76
  5. Step 5: Solve for x
    x = 93,631,769.76/9,234.53
  6. Step 6: Final answer
    x = 10,139.32

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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.