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Finding the Fourth Proportional to 9,380.66, 14,077.67 and 6,921.90

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Solution

The fourth proportional to 9,380.66, 14,077.67 and 6,921.90 is: 10,387.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,380.66 : 14,077.67 = 6,921.90 : x
  2. Step 2: Convert to fraction form
    9,380.66/14,077.67 = 6,921.90/x
  3. Step 3: Cross multiply
    9,380.66x = 14,077.67 × 6,921.90
  4. Step 4: Simplify right side
    9,380.66x = 97,444,189.36
  5. Step 5: Solve for x
    x = 97,444,189.36/9,380.66
  6. Step 6: Final answer
    x = 10,387.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.