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Finding the Fourth Proportional to 9,028.91, 12,463.04 and 6,205.65

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Solution

The fourth proportional to 9,028.91, 12,463.04 and 6,205.65 is: 8,565.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,028.91 : 12,463.04 = 6,205.65 : x
  2. Step 2: Convert to fraction form
    9,028.91/12,463.04 = 6,205.65/x
  3. Step 3: Cross multiply
    9,028.91x = 12,463.04 × 6,205.65
  4. Step 4: Simplify right side
    9,028.91x = 77,341,233.15
  5. Step 5: Solve for x
    x = 77,341,233.15/9,028.91
  6. Step 6: Final answer
    x = 8,565.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.