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Finding the Fourth Proportional to 6,906.77, 9,534.53 and 4,073.18

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Solution

The fourth proportional to 6,906.77, 9,534.53 and 4,073.18 is: 5,622.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.77 : 9,534.53 = 4,073.18 : x
  2. Step 2: Convert to fraction form
    6,906.77/9,534.53 = 4,073.18/x
  3. Step 3: Cross multiply
    6,906.77x = 9,534.53 × 4,073.18
  4. Step 4: Simplify right side
    6,906.77x = 38,835,836.54
  5. Step 5: Solve for x
    x = 38,835,836.54/6,906.77
  6. Step 6: Final answer
    x = 5,622.87

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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.