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Finding the Fourth Proportional to 9,588.68, 14,380.17 and 4,320.65

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Solution

The fourth proportional to 9,588.68, 14,380.17 and 4,320.65 is: 6,479.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,588.68 : 14,380.17 = 4,320.65 : x
  2. Step 2: Convert to fraction form
    9,588.68/14,380.17 = 4,320.65/x
  3. Step 3: Cross multiply
    9,588.68x = 14,380.17 × 4,320.65
  4. Step 4: Simplify right side
    9,588.68x = 62,131,609.61
  5. Step 5: Solve for x
    x = 62,131,609.61/9,588.68
  6. Step 6: Final answer
    x = 6,479.69

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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.