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Finding the Fourth Proportional to 6,349.47, 9,514.11 and 4,261.77

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Solution

The fourth proportional to 6,349.47, 9,514.11 and 4,261.77 is: 6,385.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,349.47 : 9,514.11 = 4,261.77 : x
  2. Step 2: Convert to fraction form
    6,349.47/9,514.11 = 4,261.77/x
  3. Step 3: Cross multiply
    6,349.47x = 9,514.11 × 4,261.77
  4. Step 4: Simplify right side
    6,349.47x = 40,546,948.57
  5. Step 5: Solve for x
    x = 40,546,948.57/6,349.47
  6. Step 6: Final answer
    x = 6,385.88

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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.