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Finding the Fourth Proportional to 9,232.29, 12,740.73 and 5,253.42

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Solution

The fourth proportional to 9,232.29, 12,740.73 and 5,253.42 is: 7,249.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,232.29 : 12,740.73 = 5,253.42 : x
  2. Step 2: Convert to fraction form
    9,232.29/12,740.73 = 5,253.42/x
  3. Step 3: Cross multiply
    9,232.29x = 12,740.73 × 5,253.42
  4. Step 4: Simplify right side
    9,232.29x = 66,932,405.80
  5. Step 5: Solve for x
    x = 66,932,405.80/9,232.29
  6. Step 6: Final answer
    x = 7,249.82

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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.