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Finding the Fourth Proportional to 6,393.64, 9,586.62 and 2,642.53

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Solution

The fourth proportional to 6,393.64, 9,586.62 and 2,642.53 is: 3,962.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,393.64 : 9,586.62 = 2,642.53 : x
  2. Step 2: Convert to fraction form
    6,393.64/9,586.62 = 2,642.53/x
  3. Step 3: Cross multiply
    6,393.64x = 9,586.62 × 2,642.53
  4. Step 4: Simplify right side
    6,393.64x = 25,332,930.95
  5. Step 5: Solve for x
    x = 25,332,930.95/6,393.64
  6. Step 6: Final answer
    x = 3,962.21

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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.