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Finding the Fourth Proportional to 6,464.60, 9,668.10 and 5,427.80

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Solution

The fourth proportional to 6,464.60, 9,668.10 and 5,427.80 is: 8,117.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.60 : 9,668.10 = 5,427.80 : x
  2. Step 2: Convert to fraction form
    6,464.60/9,668.10 = 5,427.80/x
  3. Step 3: Cross multiply
    6,464.60x = 9,668.10 × 5,427.80
  4. Step 4: Simplify right side
    6,464.60x = 52,476,513.18
  5. Step 5: Solve for x
    x = 52,476,513.18/6,464.60
  6. Step 6: Final answer
    x = 8,117.52

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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.