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Finding the Fourth Proportional to 8,670.44, 11,977.46 and 6,899.78

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Solution

The fourth proportional to 8,670.44, 11,977.46 and 6,899.78 is: 9,531.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,670.44 : 11,977.46 = 6,899.78 : x
  2. Step 2: Convert to fraction form
    8,670.44/11,977.46 = 6,899.78/x
  3. Step 3: Cross multiply
    8,670.44x = 11,977.46 × 6,899.78
  4. Step 4: Simplify right side
    8,670.44x = 82,641,744.57
  5. Step 5: Solve for x
    x = 82,641,744.57/8,670.44
  6. Step 6: Final answer
    x = 9,531.44

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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.