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Finding the Fourth Proportional to 9,419.74, 14,134.47 and 3,877.18

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Solution

The fourth proportional to 9,419.74, 14,134.47 and 3,877.18 is: 5,817.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,419.74 : 14,134.47 = 3,877.18 : x
  2. Step 2: Convert to fraction form
    9,419.74/14,134.47 = 3,877.18/x
  3. Step 3: Cross multiply
    9,419.74x = 14,134.47 × 3,877.18
  4. Step 4: Simplify right side
    9,419.74x = 54,801,884.39
  5. Step 5: Solve for x
    x = 54,801,884.39/9,419.74
  6. Step 6: Final answer
    x = 5,817.77

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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.