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Finding the Fourth Proportional to 6,641.97, 9,165.69 and 3,658.02

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Solution

The fourth proportional to 6,641.97, 9,165.69 and 3,658.02 is: 5,047.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,641.97 : 9,165.69 = 3,658.02 : x
  2. Step 2: Convert to fraction form
    6,641.97/9,165.69 = 3,658.02/x
  3. Step 3: Cross multiply
    6,641.97x = 9,165.69 × 3,658.02
  4. Step 4: Simplify right side
    6,641.97x = 33,528,277.33
  5. Step 5: Solve for x
    x = 33,528,277.33/6,641.97
  6. Step 6: Final answer
    x = 5,047.94

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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.