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Finding the Fourth Proportional to 6,613.56, 9,132.82 and 4,259.80

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Solution

The fourth proportional to 6,613.56, 9,132.82 and 4,259.80 is: 5,882.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,613.56 : 9,132.82 = 4,259.80 : x
  2. Step 2: Convert to fraction form
    6,613.56/9,132.82 = 4,259.80/x
  3. Step 3: Cross multiply
    6,613.56x = 9,132.82 × 4,259.80
  4. Step 4: Simplify right side
    6,613.56x = 38,903,986.64
  5. Step 5: Solve for x
    x = 38,903,986.64/6,613.56
  6. Step 6: Final answer
    x = 5,882.46

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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.