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Finding the Fourth Proportional to 6,640.93, 9,164.54 and 3,656.87

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Solution

The fourth proportional to 6,640.93, 9,164.54 and 3,656.87 is: 5,046.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,640.93 : 9,164.54 = 3,656.87 : x
  2. Step 2: Convert to fraction form
    6,640.93/9,164.54 = 3,656.87/x
  3. Step 3: Cross multiply
    6,640.93x = 9,164.54 × 3,656.87
  4. Step 4: Simplify right side
    6,640.93x = 33,513,508.48
  5. Step 5: Solve for x
    x = 33,513,508.48/6,640.93
  6. Step 6: Final answer
    x = 5,046.51

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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.