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Finding the Fourth Proportional to 6,327.60, 8,672.70 and 6,284.40

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Solution

The fourth proportional to 6,327.60, 8,672.70 and 6,284.40 is: 8,613.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,327.60 : 8,672.70 = 6,284.40 : x
  2. Step 2: Convert to fraction form
    6,327.60/8,672.70 = 6,284.40/x
  3. Step 3: Cross multiply
    6,327.60x = 8,672.70 × 6,284.40
  4. Step 4: Simplify right side
    6,327.60x = 54,502,715.88
  5. Step 5: Solve for x
    x = 54,502,715.88/6,327.60
  6. Step 6: Final answer
    x = 8,613.49

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.