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Finding the Fourth Proportional to 6,768.68, 9,342.29 and 4,115.53

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Solution

The fourth proportional to 6,768.68, 9,342.29 and 4,115.53 is: 5,680.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,768.68 : 9,342.29 = 4,115.53 : x
  2. Step 2: Convert to fraction form
    6,768.68/9,342.29 = 4,115.53/x
  3. Step 3: Cross multiply
    6,768.68x = 9,342.29 × 4,115.53
  4. Step 4: Simplify right side
    6,768.68x = 38,448,474.76
  5. Step 5: Solve for x
    x = 38,448,474.76/6,768.68
  6. Step 6: Final answer
    x = 5,680.35

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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.