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Finding the Fourth Proportional to 6,147.60, 9,231.54 and 4,159.08

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Solution

The fourth proportional to 6,147.60, 9,231.54 and 4,159.08 is: 6,245.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147.60 : 9,231.54 = 4,159.08 : x
  2. Step 2: Convert to fraction form
    6,147.60/9,231.54 = 4,159.08/x
  3. Step 3: Cross multiply
    6,147.60x = 9,231.54 × 4,159.08
  4. Step 4: Simplify right side
    6,147.60x = 38,394,713.38
  5. Step 5: Solve for x
    x = 38,394,713.38/6,147.60
  6. Step 6: Final answer
    x = 6,245.48

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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.