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Finding the Fourth Proportional to 9,233.92, 13,857.36 and 7,158.70

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Solution

The fourth proportional to 9,233.92, 13,857.36 and 7,158.70 is: 10,743.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,233.92 : 13,857.36 = 7,158.70 : x
  2. Step 2: Convert to fraction form
    9,233.92/13,857.36 = 7,158.70/x
  3. Step 3: Cross multiply
    9,233.92x = 13,857.36 × 7,158.70
  4. Step 4: Simplify right side
    9,233.92x = 99,200,683.03
  5. Step 5: Solve for x
    x = 99,200,683.03/9,233.92
  6. Step 6: Final answer
    x = 10,743.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.