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Finding the Fourth Proportional to 9,232.14, 12,740.46 and 5,040.38

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Solution

The fourth proportional to 9,232.14, 12,740.46 and 5,040.38 is: 6,955.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,232.14 : 12,740.46 = 5,040.38 : x
  2. Step 2: Convert to fraction form
    9,232.14/12,740.46 = 5,040.38/x
  3. Step 3: Cross multiply
    9,232.14x = 12,740.46 × 5,040.38
  4. Step 4: Simplify right side
    9,232.14x = 64,216,759.77
  5. Step 5: Solve for x
    x = 64,216,759.77/9,232.14
  6. Step 6: Final answer
    x = 6,955.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.