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Finding the Fourth Proportional to 9,687.12, 13,366.18 and 6,334.86

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Solution

The fourth proportional to 9,687.12, 13,366.18 and 6,334.86 is: 8,740.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,687.12 : 13,366.18 = 6,334.86 : x
  2. Step 2: Convert to fraction form
    9,687.12/13,366.18 = 6,334.86/x
  3. Step 3: Cross multiply
    9,687.12x = 13,366.18 × 6,334.86
  4. Step 4: Simplify right side
    9,687.12x = 84,672,879.03
  5. Step 5: Solve for x
    x = 84,672,879.03/9,687.12
  6. Step 6: Final answer
    x = 8,740.77

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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.