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Finding the Fourth Proportional to 9,142.53, 13,713.69 and 2,902.38

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Solution

The fourth proportional to 9,142.53, 13,713.69 and 2,902.38 is: 4,353.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.53 : 13,713.69 = 2,902.38 : x
  2. Step 2: Convert to fraction form
    9,142.53/13,713.69 = 2,902.38/x
  3. Step 3: Cross multiply
    9,142.53x = 13,713.69 × 2,902.38
  4. Step 4: Simplify right side
    9,142.53x = 39,802,339.58
  5. Step 5: Solve for x
    x = 39,802,339.58/9,142.53
  6. Step 6: Final answer
    x = 4,353.54

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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.