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Finding the Fourth Proportional to 9,002.40, 12,423.76 and 5,023.84

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Solution

The fourth proportional to 9,002.40, 12,423.76 and 5,023.84 is: 6,933.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,002.40 : 12,423.76 = 5,023.84 : x
  2. Step 2: Convert to fraction form
    9,002.40/12,423.76 = 5,023.84/x
  3. Step 3: Cross multiply
    9,002.40x = 12,423.76 × 5,023.84
  4. Step 4: Simplify right side
    9,002.40x = 62,414,982.44
  5. Step 5: Solve for x
    x = 62,414,982.44/9,002.40
  6. Step 6: Final answer
    x = 6,933.15

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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.