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Finding the Fourth Proportional to 9,022.82, 12,451.54 and 5,044.10

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Solution

The fourth proportional to 9,022.82, 12,451.54 and 5,044.10 is: 6,960.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,022.82 : 12,451.54 = 5,044.10 : x
  2. Step 2: Convert to fraction form
    9,022.82/12,451.54 = 5,044.10/x
  3. Step 3: Cross multiply
    9,022.82x = 12,451.54 × 5,044.10
  4. Step 4: Simplify right side
    9,022.82x = 62,806,812.91
  5. Step 5: Solve for x
    x = 62,806,812.91/9,022.82
  6. Step 6: Final answer
    x = 6,960.89

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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.