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Finding the Fourth Proportional to 6,851.76, 9,393.72 and 6,727.20

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Solution

The fourth proportional to 6,851.76, 9,393.72 and 6,727.20 is: 9,222.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,851.76 : 9,393.72 = 6,727.20 : x
  2. Step 2: Convert to fraction form
    6,851.76/9,393.72 = 6,727.20/x
  3. Step 3: Cross multiply
    6,851.76x = 9,393.72 × 6,727.20
  4. Step 4: Simplify right side
    6,851.76x = 63,193,433.18
  5. Step 5: Solve for x
    x = 63,193,433.18/6,851.76
  6. Step 6: Final answer
    x = 9,222.95

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.