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Finding the Fourth Proportional to 9,164.73, 12,647.31 and 4,972.98

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Solution

The fourth proportional to 9,164.73, 12,647.31 and 4,972.98 is: 6,862.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.73 : 12,647.31 = 4,972.98 : x
  2. Step 2: Convert to fraction form
    9,164.73/12,647.31 = 4,972.98/x
  3. Step 3: Cross multiply
    9,164.73x = 12,647.31 × 4,972.98
  4. Step 4: Simplify right side
    9,164.73x = 62,894,819.68
  5. Step 5: Solve for x
    x = 62,894,819.68/9,164.73
  6. Step 6: Final answer
    x = 6,862.70

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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.