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Finding the Fourth Proportional to 9,112.57, 12,581.16 and 7,437.97

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Solution

The fourth proportional to 9,112.57, 12,581.16 and 7,437.97 is: 10,269.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,112.57 : 12,581.16 = 7,437.97 : x
  2. Step 2: Convert to fraction form
    9,112.57/12,581.16 = 7,437.97/x
  3. Step 3: Cross multiply
    9,112.57x = 12,581.16 × 7,437.97
  4. Step 4: Simplify right side
    9,112.57x = 93,578,290.65
  5. Step 5: Solve for x
    x = 93,578,290.65/9,112.57
  6. Step 6: Final answer
    x = 10,269.14

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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.