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Finding the Fourth Proportional to 9,642.07, 14,463.12 and 2,716.57

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Solution

The fourth proportional to 9,642.07, 14,463.12 and 2,716.57 is: 4,074.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.07 : 14,463.12 = 2,716.57 : x
  2. Step 2: Convert to fraction form
    9,642.07/14,463.12 = 2,716.57/x
  3. Step 3: Cross multiply
    9,642.07x = 14,463.12 × 2,716.57
  4. Step 4: Simplify right side
    9,642.07x = 39,290,077.90
  5. Step 5: Solve for x
    x = 39,290,077.90/9,642.07
  6. Step 6: Final answer
    x = 4,074.86

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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.