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Finding the Fourth Proportional to 6,670.10, 9,204.93 and 3,686.13

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Solution

The fourth proportional to 6,670.10, 9,204.93 and 3,686.13 is: 5,086.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,670.10 : 9,204.93 = 3,686.13 : x
  2. Step 2: Convert to fraction form
    6,670.10/9,204.93 = 3,686.13/x
  3. Step 3: Cross multiply
    6,670.10x = 9,204.93 × 3,686.13
  4. Step 4: Simplify right side
    6,670.10x = 33,930,568.62
  5. Step 5: Solve for x
    x = 33,930,568.62/6,670.10
  6. Step 6: Final answer
    x = 5,086.96

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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.