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Finding the Fourth Proportional to 9,002.82, 12,423.84 and 5,023.70

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Solution

The fourth proportional to 9,002.82, 12,423.84 and 5,023.70 is: 6,932.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,002.82 : 12,423.84 = 5,023.70 : x
  2. Step 2: Convert to fraction form
    9,002.82/12,423.84 = 5,023.70/x
  3. Step 3: Cross multiply
    9,002.82x = 12,423.84 × 5,023.70
  4. Step 4: Simplify right side
    9,002.82x = 62,413,582.89
  5. Step 5: Solve for x
    x = 62,413,582.89/9,002.82
  6. Step 6: Final answer
    x = 6,932.67

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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.