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Finding the Fourth Proportional to 9,400.98, 12,964.78 and 6,747.42

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Solution

The fourth proportional to 9,400.98, 12,964.78 and 6,747.42 is: 9,305.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,400.98 : 12,964.78 = 6,747.42 : x
  2. Step 2: Convert to fraction form
    9,400.98/12,964.78 = 6,747.42/x
  3. Step 3: Cross multiply
    9,400.98x = 12,964.78 × 6,747.42
  4. Step 4: Simplify right side
    9,400.98x = 87,478,815.87
  5. Step 5: Solve for x
    x = 87,478,815.87/9,400.98
  6. Step 6: Final answer
    x = 9,305.29

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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.