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Finding the Fourth Proportional to 9,142.81, 13,712.82 and 2,902.02

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Solution

The fourth proportional to 9,142.81, 13,712.82 and 2,902.02 is: 4,352.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.81 : 13,712.82 = 2,902.02 : x
  2. Step 2: Convert to fraction form
    9,142.81/13,712.82 = 2,902.02/x
  3. Step 3: Cross multiply
    9,142.81x = 13,712.82 × 2,902.02
  4. Step 4: Simplify right side
    9,142.81x = 39,794,877.90
  5. Step 5: Solve for x
    x = 39,794,877.90/9,142.81
  6. Step 6: Final answer
    x = 4,352.59

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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.