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Finding the Fourth Proportional to 6,706.97, 9,255.68 and 4,056.15

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Solution

The fourth proportional to 6,706.97, 9,255.68 and 4,056.15 is: 5,597.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.97 : 9,255.68 = 4,056.15 : x
  2. Step 2: Convert to fraction form
    6,706.97/9,255.68 = 4,056.15/x
  3. Step 3: Cross multiply
    6,706.97x = 9,255.68 × 4,056.15
  4. Step 4: Simplify right side
    6,706.97x = 37,542,426.43
  5. Step 5: Solve for x
    x = 37,542,426.43/6,706.97
  6. Step 6: Final answer
    x = 5,597.52

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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.