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Finding the Fourth Proportional to 9,142.51, 13,711.05 and 3,877.44

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Solution

The fourth proportional to 9,142.51, 13,711.05 and 3,877.44 is: 5,815.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.51 : 13,711.05 = 3,877.44 : x
  2. Step 2: Convert to fraction form
    9,142.51/13,711.05 = 3,877.44/x
  3. Step 3: Cross multiply
    9,142.51x = 13,711.05 × 3,877.44
  4. Step 4: Simplify right side
    9,142.51x = 53,163,827.08
  5. Step 5: Solve for x
    x = 53,163,827.08/9,142.51
  6. Step 6: Final answer
    x = 5,815.02

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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.