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Finding the Fourth Proportional to 9,252.70, 13,877.96 and 3,705.82

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Solution

The fourth proportional to 9,252.70, 13,877.96 and 3,705.82 is: 5,558.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,252.70 : 13,877.96 = 3,705.82 : x
  2. Step 2: Convert to fraction form
    9,252.70/13,877.96 = 3,705.82/x
  3. Step 3: Cross multiply
    9,252.70x = 13,877.96 × 3,705.82
  4. Step 4: Simplify right side
    9,252.70x = 51,429,221.73
  5. Step 5: Solve for x
    x = 51,429,221.73/9,252.70
  6. Step 6: Final answer
    x = 5,558.29

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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.