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Finding the Fourth Proportional to 6,670.14, 9,204.66 and 3,685.92

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Solution

The fourth proportional to 6,670.14, 9,204.66 and 3,685.92 is: 5,086.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,670.14 : 9,204.66 = 3,685.92 : x
  2. Step 2: Convert to fraction form
    6,670.14/9,204.66 = 3,685.92/x
  3. Step 3: Cross multiply
    6,670.14x = 9,204.66 × 3,685.92
  4. Step 4: Simplify right side
    6,670.14x = 33,927,640.39
  5. Step 5: Solve for x
    x = 33,927,640.39/6,670.14
  6. Step 6: Final answer
    x = 5,086.50

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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.