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Finding the Fourth Proportional to 6,948.57, 9,586.65 and 3,962.26

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Solution

The fourth proportional to 6,948.57, 9,586.65 and 3,962.26 is: 5,466.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,948.57 : 9,586.65 = 3,962.26 : x
  2. Step 2: Convert to fraction form
    6,948.57/9,586.65 = 3,962.26/x
  3. Step 3: Cross multiply
    6,948.57x = 9,586.65 × 3,962.26
  4. Step 4: Simplify right side
    6,948.57x = 37,984,799.83
  5. Step 5: Solve for x
    x = 37,984,799.83/6,948.57
  6. Step 6: Final answer
    x = 5,466.56

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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.