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Finding the Fourth Proportional to 6,016.56, 9,024.78 and 4,564.62

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Solution

The fourth proportional to 6,016.56, 9,024.78 and 4,564.62 is: 6,846.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,016.56 : 9,024.78 = 4,564.62 : x
  2. Step 2: Convert to fraction form
    6,016.56/9,024.78 = 4,564.62/x
  3. Step 3: Cross multiply
    6,016.56x = 9,024.78 × 4,564.62
  4. Step 4: Simplify right side
    6,016.56x = 41,194,691.28
  5. Step 5: Solve for x
    x = 41,194,691.28/6,016.56
  6. Step 6: Final answer
    x = 6,846.88

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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.