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Finding the Fourth Proportional to 9,002.32, 12,423.23 and 5,023.60

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Solution

The fourth proportional to 9,002.32, 12,423.23 and 5,023.60 is: 6,932.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,002.32 : 12,423.23 = 5,023.60 : x
  2. Step 2: Convert to fraction form
    9,002.32/12,423.23 = 5,023.60/x
  3. Step 3: Cross multiply
    9,002.32x = 12,423.23 × 5,023.60
  4. Step 4: Simplify right side
    9,002.32x = 62,409,319.73
  5. Step 5: Solve for x
    x = 62,409,319.73/9,002.32
  6. Step 6: Final answer
    x = 6,932.58

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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.