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Finding the Fourth Proportional to 6,670.97, 9,205.48 and 3,686.78

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Solution

The fourth proportional to 6,670.97, 9,205.48 and 3,686.78 is: 5,087.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,670.97 : 9,205.48 = 3,686.78 : x
  2. Step 2: Convert to fraction form
    6,670.97/9,205.48 = 3,686.78/x
  3. Step 3: Cross multiply
    6,670.97x = 9,205.48 × 3,686.78
  4. Step 4: Simplify right side
    6,670.97x = 33,938,579.55
  5. Step 5: Solve for x
    x = 33,938,579.55/6,670.97
  6. Step 6: Final answer
    x = 5,087.50

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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.