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Finding the Fourth Proportional to 6,241.32, 9,354.20 and 4,014.23

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Solution

The fourth proportional to 6,241.32, 9,354.20 and 4,014.23 is: 6,016.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,241.32 : 9,354.20 = 4,014.23 : x
  2. Step 2: Convert to fraction form
    6,241.32/9,354.20 = 4,014.23/x
  3. Step 3: Cross multiply
    6,241.32x = 9,354.20 × 4,014.23
  4. Step 4: Simplify right side
    6,241.32x = 37,549,843.42
  5. Step 5: Solve for x
    x = 37,549,843.42/6,241.32
  6. Step 6: Final answer
    x = 6,016.33

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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.