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Finding the Fourth Proportional to 6,309.28, 8,706.72 and 3,514.78

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Solution

The fourth proportional to 6,309.28, 8,706.72 and 3,514.78 is: 4,850.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309.28 : 8,706.72 = 3,514.78 : x
  2. Step 2: Convert to fraction form
    6,309.28/8,706.72 = 3,514.78/x
  3. Step 3: Cross multiply
    6,309.28x = 8,706.72 × 3,514.78
  4. Step 4: Simplify right side
    6,309.28x = 30,602,205.32
  5. Step 5: Solve for x
    x = 30,602,205.32/6,309.28
  6. Step 6: Final answer
    x = 4,850.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.