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Finding the Fourth Proportional to 9,420.80, 14,132.82 and 3,877.16

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Solution

The fourth proportional to 9,420.80, 14,132.82 and 3,877.16 is: 5,816.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,420.80 : 14,132.82 = 3,877.16 : x
  2. Step 2: Convert to fraction form
    9,420.80/14,132.82 = 3,877.16/x
  3. Step 3: Cross multiply
    9,420.80x = 14,132.82 × 3,877.16
  4. Step 4: Simplify right side
    9,420.80x = 54,795,204.39
  5. Step 5: Solve for x
    x = 54,795,204.39/9,420.80
  6. Step 6: Final answer
    x = 5,816.41

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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.