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Finding the Fourth Proportional to 6,972.54, 9,616.45 and 6,131.46

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Solution

The fourth proportional to 6,972.54, 9,616.45 and 6,131.46 is: 8,456.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,972.54 : 9,616.45 = 6,131.46 : x
  2. Step 2: Convert to fraction form
    6,972.54/9,616.45 = 6,131.46/x
  3. Step 3: Cross multiply
    6,972.54x = 9,616.45 × 6,131.46
  4. Step 4: Simplify right side
    6,972.54x = 58,962,878.52
  5. Step 5: Solve for x
    x = 58,962,878.52/6,972.54
  6. Step 6: Final answer
    x = 8,456.44

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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.