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Finding the Fourth Proportional to 10,647.17, 14,691.97 and 6,172.33

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Solution

The fourth proportional to 10,647.17, 14,691.97 and 6,172.33 is: 8,517.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,647.17 : 14,691.97 = 6,172.33 : x
  2. Step 2: Convert to fraction form
    10,647.17/14,691.97 = 6,172.33/x
  3. Step 3: Cross multiply
    10,647.17x = 14,691.97 × 6,172.33
  4. Step 4: Simplify right side
    10,647.17x = 90,683,687.19
  5. Step 5: Solve for x
    x = 90,683,687.19/10,647.17
  6. Step 6: Final answer
    x = 8,517.16

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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.