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Finding the Fourth Proportional to 9,003.76, 12,423.92 and 5,024.32

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Solution

The fourth proportional to 9,003.76, 12,423.92 and 5,024.32 is: 6,932.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,003.76 : 12,423.92 = 5,024.32 : x
  2. Step 2: Convert to fraction form
    9,003.76/12,423.92 = 5,024.32/x
  3. Step 3: Cross multiply
    9,003.76x = 12,423.92 × 5,024.32
  4. Step 4: Simplify right side
    9,003.76x = 62,421,749.73
  5. Step 5: Solve for x
    x = 62,421,749.73/9,003.76
  6. Step 6: Final answer
    x = 6,932.85

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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.