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Finding the Fourth Proportional to 9,187.35, 13,772.91 and 3,644.58

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Solution

The fourth proportional to 9,187.35, 13,772.91 and 3,644.58 is: 5,463.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,187.35 : 13,772.91 = 3,644.58 : x
  2. Step 2: Convert to fraction form
    9,187.35/13,772.91 = 3,644.58/x
  3. Step 3: Cross multiply
    9,187.35x = 13,772.91 × 3,644.58
  4. Step 4: Simplify right side
    9,187.35x = 50,196,472.33
  5. Step 5: Solve for x
    x = 50,196,472.33/9,187.35
  6. Step 6: Final answer
    x = 5,463.65

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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.