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Finding the Fourth Proportional to 9,016.30, 13,524.30 and 3,470.85

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Solution

The fourth proportional to 9,016.30, 13,524.30 and 3,470.85 is: 5,206.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,016.30 : 13,524.30 = 3,470.85 : x
  2. Step 2: Convert to fraction form
    9,016.30/13,524.30 = 3,470.85/x
  3. Step 3: Cross multiply
    9,016.30x = 13,524.30 × 3,470.85
  4. Step 4: Simplify right side
    9,016.30x = 46,940,816.66
  5. Step 5: Solve for x
    x = 46,940,816.66/9,016.30
  6. Step 6: Final answer
    x = 5,206.22

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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.