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Finding the Fourth Proportional to 6,871.68, 9,478.08 and 4,851.36

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Solution

The fourth proportional to 6,871.68, 9,478.08 and 4,851.36 is: 6,691.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,871.68 : 9,478.08 = 4,851.36 : x
  2. Step 2: Convert to fraction form
    6,871.68/9,478.08 = 4,851.36/x
  3. Step 3: Cross multiply
    6,871.68x = 9,478.08 × 4,851.36
  4. Step 4: Simplify right side
    6,871.68x = 45,981,578.19
  5. Step 5: Solve for x
    x = 45,981,578.19/6,871.68
  6. Step 6: Final answer
    x = 6,691.46

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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.