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Finding the Fourth Proportional to 9,761.88, 14,642.73 and 2,366.31

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Solution

The fourth proportional to 9,761.88, 14,642.73 and 2,366.31 is: 3,549.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,761.88 : 14,642.73 = 2,366.31 : x
  2. Step 2: Convert to fraction form
    9,761.88/14,642.73 = 2,366.31/x
  3. Step 3: Cross multiply
    9,761.88x = 14,642.73 × 2,366.31
  4. Step 4: Simplify right side
    9,761.88x = 34,649,238.43
  5. Step 5: Solve for x
    x = 34,649,238.43/9,761.88
  6. Step 6: Final answer
    x = 3,549.44

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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.