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Finding the Fourth Proportional to 6,978.34, 9,630.03 and 3,791.57

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Solution

The fourth proportional to 6,978.34, 9,630.03 and 3,791.57 is: 5,232.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978.34 : 9,630.03 = 3,791.57 : x
  2. Step 2: Convert to fraction form
    6,978.34/9,630.03 = 3,791.57/x
  3. Step 3: Cross multiply
    6,978.34x = 9,630.03 × 3,791.57
  4. Step 4: Simplify right side
    6,978.34x = 36,512,898.92
  5. Step 5: Solve for x
    x = 36,512,898.92/6,978.34
  6. Step 6: Final answer
    x = 5,232.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.