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Finding the Fourth Proportional to 6,696.60, 9,240.96 and 3,671.70

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Solution

The fourth proportional to 6,696.60, 9,240.96 and 3,671.70 is: 5,066.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,696.60 : 9,240.96 = 3,671.70 : x
  2. Step 2: Convert to fraction form
    6,696.60/9,240.96 = 3,671.70/x
  3. Step 3: Cross multiply
    6,696.60x = 9,240.96 × 3,671.70
  4. Step 4: Simplify right side
    6,696.60x = 33,930,032.83
  5. Step 5: Solve for x
    x = 33,930,032.83/6,696.60
  6. Step 6: Final answer
    x = 5,066.76

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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.