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Finding the Fourth Proportional to 6,671.30, 9,205.75 and 3,686.65

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Solution

The fourth proportional to 6,671.30, 9,205.75 and 3,686.65 is: 5,087.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,671.30 : 9,205.75 = 3,686.65 : x
  2. Step 2: Convert to fraction form
    6,671.30/9,205.75 = 3,686.65/x
  3. Step 3: Cross multiply
    6,671.30x = 9,205.75 × 3,686.65
  4. Step 4: Simplify right side
    6,671.30x = 33,938,346.01
  5. Step 5: Solve for x
    x = 33,938,346.01/6,671.30
  6. Step 6: Final answer
    x = 5,087.22

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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.