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Finding the Fourth Proportional to 6,947.35, 9,588.71 and 3,962.90

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Solution

The fourth proportional to 6,947.35, 9,588.71 and 3,962.90 is: 5,469.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,947.35 : 9,588.71 = 3,962.90 : x
  2. Step 2: Convert to fraction form
    6,947.35/9,588.71 = 3,962.90/x
  3. Step 3: Cross multiply
    6,947.35x = 9,588.71 × 3,962.90
  4. Step 4: Simplify right side
    6,947.35x = 37,999,098.86
  5. Step 5: Solve for x
    x = 37,999,098.86/6,947.35
  6. Step 6: Final answer
    x = 5,469.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.