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Finding the Fourth Proportional to 9,362.16, 12,909 and 6,379.80

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Solution

The fourth proportional to 9,362.16, 12,909 and 6,379.80 is: 8,796.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,362.16 : 12,909 = 6,379.80 : x
  2. Step 2: Convert to fraction form
    9,362.16/12,909 = 6,379.80/x
  3. Step 3: Cross multiply
    9,362.16x = 12,909 × 6,379.80
  4. Step 4: Simplify right side
    9,362.16x = 82,356,838.20
  5. Step 5: Solve for x
    x = 82,356,838.20/9,362.16
  6. Step 6: Final answer
    x = 8,796.78

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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.