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Finding the Fourth Proportional to 6,670.17, 9,204.80 and 3,686.18

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Solution

The fourth proportional to 6,670.17, 9,204.80 and 3,686.18 is: 5,086.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,670.17 : 9,204.80 = 3,686.18 : x
  2. Step 2: Convert to fraction form
    6,670.17/9,204.80 = 3,686.18/x
  3. Step 3: Cross multiply
    6,670.17x = 9,204.80 × 3,686.18
  4. Step 4: Simplify right side
    6,670.17x = 33,930,485.21
  5. Step 5: Solve for x
    x = 33,930,485.21/6,670.17
  6. Step 6: Final answer
    x = 5,086.90

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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.