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Finding the Fourth Proportional to 9,694.59, 13,373.81 and 6,337.54

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Solution

The fourth proportional to 9,694.59, 13,373.81 and 6,337.54 is: 8,742.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,694.59 : 13,373.81 = 6,337.54 : x
  2. Step 2: Convert to fraction form
    9,694.59/13,373.81 = 6,337.54/x
  3. Step 3: Cross multiply
    9,694.59x = 13,373.81 × 6,337.54
  4. Step 4: Simplify right side
    9,694.59x = 84,757,064.62
  5. Step 5: Solve for x
    x = 84,757,064.62/9,694.59
  6. Step 6: Final answer
    x = 8,742.72

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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.