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Finding the Fourth Proportional to 9,002.68, 12,424 and 5,023.96

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Solution

The fourth proportional to 9,002.68, 12,424 and 5,023.96 is: 6,933.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,002.68 : 12,424 = 5,023.96 : x
  2. Step 2: Convert to fraction form
    9,002.68/12,424 = 5,023.96/x
  3. Step 3: Cross multiply
    9,002.68x = 12,424 × 5,023.96
  4. Step 4: Simplify right side
    9,002.68x = 62,417,679.04
  5. Step 5: Solve for x
    x = 62,417,679.04/9,002.68
  6. Step 6: Final answer
    x = 6,933.23

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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.