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Finding the Fourth Proportional to 9,002.39, 12,423.54 and 5,023.49

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Solution

The fourth proportional to 9,002.39, 12,423.54 and 5,023.49 is: 6,932.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,002.39 : 12,423.54 = 5,023.49 : x
  2. Step 2: Convert to fraction form
    9,002.39/12,423.54 = 5,023.49/x
  3. Step 3: Cross multiply
    9,002.39x = 12,423.54 × 5,023.49
  4. Step 4: Simplify right side
    9,002.39x = 62,409,528.95
  5. Step 5: Solve for x
    x = 62,409,528.95/9,002.39
  6. Step 6: Final answer
    x = 6,932.55

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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.