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Finding the Fourth Proportional to 9,399.69, 12,965.70 and 6,046.87

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Solution

The fourth proportional to 9,399.69, 12,965.70 and 6,046.87 is: 8,340.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,399.69 : 12,965.70 = 6,046.87 : x
  2. Step 2: Convert to fraction form
    9,399.69/12,965.70 = 6,046.87/x
  3. Step 3: Cross multiply
    9,399.69x = 12,965.70 × 6,046.87
  4. Step 4: Simplify right side
    9,399.69x = 78,401,902.36
  5. Step 5: Solve for x
    x = 78,401,902.36/9,399.69
  6. Step 6: Final answer
    x = 8,340.90

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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.