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Finding the Fourth Proportional to 8,868.86, 12,226.31 and 6,977.16

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Solution

The fourth proportional to 8,868.86, 12,226.31 and 6,977.16 is: 9,618.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,868.86 : 12,226.31 = 6,977.16 : x
  2. Step 2: Convert to fraction form
    8,868.86/12,226.31 = 6,977.16/x
  3. Step 3: Cross multiply
    8,868.86x = 12,226.31 × 6,977.16
  4. Step 4: Simplify right side
    8,868.86x = 85,304,825.06
  5. Step 5: Solve for x
    x = 85,304,825.06/8,868.86
  6. Step 6: Final answer
    x = 9,618.47

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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.