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Finding the Fourth Proportional to 10,141.65, 15,188.97 and 9,791.34

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Solution

The fourth proportional to 10,141.65, 15,188.97 and 9,791.34 is: 14,664.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,141.65 : 15,188.97 = 9,791.34 : x
  2. Step 2: Convert to fraction form
    10,141.65/15,188.97 = 9,791.34/x
  3. Step 3: Cross multiply
    10,141.65x = 15,188.97 × 9,791.34
  4. Step 4: Simplify right side
    10,141.65x = 148,720,369.52
  5. Step 5: Solve for x
    x = 148,720,369.52/10,141.65
  6. Step 6: Final answer
    x = 14,664.32

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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.