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Finding the Fourth Proportional to 6,886.90, 9,489.18 and 6,320.74

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Solution

The fourth proportional to 6,886.90, 9,489.18 and 6,320.74 is: 8,709.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,886.90 : 9,489.18 = 6,320.74 : x
  2. Step 2: Convert to fraction form
    6,886.90/9,489.18 = 6,320.74/x
  3. Step 3: Cross multiply
    6,886.90x = 9,489.18 × 6,320.74
  4. Step 4: Simplify right side
    6,886.90x = 59,978,639.59
  5. Step 5: Solve for x
    x = 59,978,639.59/6,886.90
  6. Step 6: Final answer
    x = 8,709.09

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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.