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Finding the Fourth Proportional to 9,642.76, 14,446.62 and 8,092.72

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Solution

The fourth proportional to 9,642.76, 14,446.62 and 8,092.72 is: 12,124.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.76 : 14,446.62 = 8,092.72 : x
  2. Step 2: Convert to fraction form
    9,642.76/14,446.62 = 8,092.72/x
  3. Step 3: Cross multiply
    9,642.76x = 14,446.62 × 8,092.72
  4. Step 4: Simplify right side
    9,642.76x = 116,912,450.61
  5. Step 5: Solve for x
    x = 116,912,450.61/9,642.76
  6. Step 6: Final answer
    x = 12,124.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.