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Finding the Fourth Proportional to 6,234.73, 9,315.57 and 6,016.71

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Solution

The fourth proportional to 6,234.73, 9,315.57 and 6,016.71 is: 8,989.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,234.73 : 9,315.57 = 6,016.71 : x
  2. Step 2: Convert to fraction form
    6,234.73/9,315.57 = 6,016.71/x
  3. Step 3: Cross multiply
    6,234.73x = 9,315.57 × 6,016.71
  4. Step 4: Simplify right side
    6,234.73x = 56,049,083.17
  5. Step 5: Solve for x
    x = 56,049,083.17/6,234.73
  6. Step 6: Final answer
    x = 8,989.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.