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Finding the Fourth Proportional to 9,192.97, 12,687.23 and 5,417.31

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Solution

The fourth proportional to 9,192.97, 12,687.23 and 5,417.31 is: 7,476.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,192.97 : 12,687.23 = 5,417.31 : x
  2. Step 2: Convert to fraction form
    9,192.97/12,687.23 = 5,417.31/x
  3. Step 3: Cross multiply
    9,192.97x = 12,687.23 × 5,417.31
  4. Step 4: Simplify right side
    9,192.97x = 68,730,671.49
  5. Step 5: Solve for x
    x = 68,730,671.49/9,192.97
  6. Step 6: Final answer
    x = 7,476.44

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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.