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Finding the Fourth Proportional to 9,687.15, 14,531.64 and 3,843

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Solution

The fourth proportional to 9,687.15, 14,531.64 and 3,843 is: 5,764.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,687.15 : 14,531.64 = 3,843 : x
  2. Step 2: Convert to fraction form
    9,687.15/14,531.64 = 3,843/x
  3. Step 3: Cross multiply
    9,687.15x = 14,531.64 × 3,843
  4. Step 4: Simplify right side
    9,687.15x = 55,845,078.11
  5. Step 5: Solve for x
    x = 55,845,078.11/9,687.15
  6. Step 6: Final answer
    x = 5,764.86

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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.