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Finding the Fourth Proportional to 9,589.87, 14,382.15 and 6,074.65

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Solution

The fourth proportional to 9,589.87, 14,382.15 and 6,074.65 is: 9,110.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,589.87 : 14,382.15 = 6,074.65 : x
  2. Step 2: Convert to fraction form
    9,589.87/14,382.15 = 6,074.65/x
  3. Step 3: Cross multiply
    9,589.87x = 14,382.15 × 6,074.65
  4. Step 4: Simplify right side
    9,589.87x = 87,366,527.50
  5. Step 5: Solve for x
    x = 87,366,527.50/9,589.87
  6. Step 6: Final answer
    x = 9,110.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.