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Finding the Fourth Proportional to 6,910.40, 9,542.44 and 5,138.92

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Solution

The fourth proportional to 6,910.40, 9,542.44 and 5,138.92 is: 7,096.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,910.40 : 9,542.44 = 5,138.92 : x
  2. Step 2: Convert to fraction form
    6,910.40/9,542.44 = 5,138.92/x
  3. Step 3: Cross multiply
    6,910.40x = 9,542.44 × 5,138.92
  4. Step 4: Simplify right side
    6,910.40x = 49,037,835.76
  5. Step 5: Solve for x
    x = 49,037,835.76/6,910.40
  6. Step 6: Final answer
    x = 7,096.24

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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.