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Finding the Fourth Proportional to 9,687.42, 14,512.80 and 5,726.82

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Solution

The fourth proportional to 9,687.42, 14,512.80 and 5,726.82 is: 8,579.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,687.42 : 14,512.80 = 5,726.82 : x
  2. Step 2: Convert to fraction form
    9,687.42/14,512.80 = 5,726.82/x
  3. Step 3: Cross multiply
    9,687.42x = 14,512.80 × 5,726.82
  4. Step 4: Simplify right side
    9,687.42x = 83,112,193.30
  5. Step 5: Solve for x
    x = 83,112,193.30/9,687.42
  6. Step 6: Final answer
    x = 8,579.39

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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.