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Finding the Fourth Proportional to 6,016.48, 9,014.40 and 5,407.78

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Solution

The fourth proportional to 6,016.48, 9,014.40 and 5,407.78 is: 8,102.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,016.48 : 9,014.40 = 5,407.78 : x
  2. Step 2: Convert to fraction form
    6,016.48/9,014.40 = 5,407.78/x
  3. Step 3: Cross multiply
    6,016.48x = 9,014.40 × 5,407.78
  4. Step 4: Simplify right side
    6,016.48x = 48,747,892.03
  5. Step 5: Solve for x
    x = 48,747,892.03/6,016.48
  6. Step 6: Final answer
    x = 8,102.39

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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.