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Finding the Fourth Proportional to 9,144.38, 13,716.57 and 2,988.38

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Solution

The fourth proportional to 9,144.38, 13,716.57 and 2,988.38 is: 4,482.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,144.38 : 13,716.57 = 2,988.38 : x
  2. Step 2: Convert to fraction form
    9,144.38/13,716.57 = 2,988.38/x
  3. Step 3: Cross multiply
    9,144.38x = 13,716.57 × 2,988.38
  4. Step 4: Simplify right side
    9,144.38x = 40,990,254.87
  5. Step 5: Solve for x
    x = 40,990,254.87/9,144.38
  6. Step 6: Final answer
    x = 4,482.56

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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.