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Finding the Fourth Proportional to 9,086.12, 12,542.02 and 6,698.86

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Solution

The fourth proportional to 9,086.12, 12,542.02 and 6,698.86 is: 9,246.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,086.12 : 12,542.02 = 6,698.86 : x
  2. Step 2: Convert to fraction form
    9,086.12/12,542.02 = 6,698.86/x
  3. Step 3: Cross multiply
    9,086.12x = 12,542.02 × 6,698.86
  4. Step 4: Simplify right side
    9,086.12x = 84,017,236.10
  5. Step 5: Solve for x
    x = 84,017,236.10/9,086.12
  6. Step 6: Final answer
    x = 9,246.77

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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.