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Finding the Fourth Proportional to 6,871.32, 9,476.56 and 5,281.82

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Solution

The fourth proportional to 6,871.32, 9,476.56 and 5,281.82 is: 7,284.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,871.32 : 9,476.56 = 5,281.82 : x
  2. Step 2: Convert to fraction form
    6,871.32/9,476.56 = 5,281.82/x
  3. Step 3: Cross multiply
    6,871.32x = 9,476.56 × 5,281.82
  4. Step 4: Simplify right side
    6,871.32x = 50,053,478.90
  5. Step 5: Solve for x
    x = 50,053,478.90/6,871.32
  6. Step 6: Final answer
    x = 7,284.41

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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.