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Finding the Fourth Proportional to 9,140.97, 12,614.54 and 4,949.22

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Solution

The fourth proportional to 9,140.97, 12,614.54 and 4,949.22 is: 6,829.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,140.97 : 12,614.54 = 4,949.22 : x
  2. Step 2: Convert to fraction form
    9,140.97/12,614.54 = 4,949.22/x
  3. Step 3: Cross multiply
    9,140.97x = 12,614.54 × 4,949.22
  4. Step 4: Simplify right side
    9,140.97x = 62,432,133.66
  5. Step 5: Solve for x
    x = 62,432,133.66/9,140.97
  6. Step 6: Final answer
    x = 6,829.92

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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.