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Finding the Fourth Proportional to 9,023.10, 12,451.95 and 5,044.38

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Solution

The fourth proportional to 9,023.10, 12,451.95 and 5,044.38 is: 6,961.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,023.10 : 12,451.95 = 5,044.38 : x
  2. Step 2: Convert to fraction form
    9,023.10/12,451.95 = 5,044.38/x
  3. Step 3: Cross multiply
    9,023.10x = 12,451.95 × 5,044.38
  4. Step 4: Simplify right side
    9,023.10x = 62,812,367.54
  5. Step 5: Solve for x
    x = 62,812,367.54/9,023.10
  6. Step 6: Final answer
    x = 6,961.28

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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.