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Finding the Fourth Proportional to 9,002.54, 12,422.46 and 5,023.52

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Solution

The fourth proportional to 9,002.54, 12,422.46 and 5,023.52 is: 6,931.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,002.54 : 12,422.46 = 5,023.52 : x
  2. Step 2: Convert to fraction form
    9,002.54/12,422.46 = 5,023.52/x
  3. Step 3: Cross multiply
    9,002.54x = 12,422.46 × 5,023.52
  4. Step 4: Simplify right side
    9,002.54x = 62,404,479.57
  5. Step 5: Solve for x
    x = 62,404,479.57/9,002.54
  6. Step 6: Final answer
    x = 6,931.87

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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.