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Finding the Fourth Proportional to 9,023.46, 12,452.14 and 5,044.94

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Solution

The fourth proportional to 9,023.46, 12,452.14 and 5,044.94 is: 6,961.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,023.46 : 12,452.14 = 5,044.94 : x
  2. Step 2: Convert to fraction form
    9,023.46/12,452.14 = 5,044.94/x
  3. Step 3: Cross multiply
    9,023.46x = 12,452.14 × 5,044.94
  4. Step 4: Simplify right side
    9,023.46x = 62,820,289.91
  5. Step 5: Solve for x
    x = 62,820,289.91/9,023.46
  6. Step 6: Final answer
    x = 6,961.89

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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.