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Finding the Fourth Proportional to 6,329.88, 9,494.70 and 2,863.08

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Solution

The fourth proportional to 6,329.88, 9,494.70 and 2,863.08 is: 4,294.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,329.88 : 9,494.70 = 2,863.08 : x
  2. Step 2: Convert to fraction form
    6,329.88/9,494.70 = 2,863.08/x
  3. Step 3: Cross multiply
    6,329.88x = 9,494.70 × 2,863.08
  4. Step 4: Simplify right side
    6,329.88x = 27,184,085.68
  5. Step 5: Solve for x
    x = 27,184,085.68/6,329.88
  6. Step 6: Final answer
    x = 4,294.57

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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.