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Finding the Fourth Proportional to 9,761.73, 14,642.63 and 2,366.18

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Solution

The fourth proportional to 9,761.73, 14,642.63 and 2,366.18 is: 3,549.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,761.73 : 14,642.63 = 2,366.18 : x
  2. Step 2: Convert to fraction form
    9,761.73/14,642.63 = 2,366.18/x
  3. Step 3: Cross multiply
    9,761.73x = 14,642.63 × 2,366.18
  4. Step 4: Simplify right side
    9,761.73x = 34,647,098.25
  5. Step 5: Solve for x
    x = 34,647,098.25/9,761.73
  6. Step 6: Final answer
    x = 3,549.28

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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.