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Finding the Fourth Proportional to 6,670.12, 9,206.04 and 3,839.38

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Solution

The fourth proportional to 6,670.12, 9,206.04 and 3,839.38 is: 5,299.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,670.12 : 9,206.04 = 3,839.38 : x
  2. Step 2: Convert to fraction form
    6,670.12/9,206.04 = 3,839.38/x
  3. Step 3: Cross multiply
    6,670.12x = 9,206.04 × 3,839.38
  4. Step 4: Simplify right side
    6,670.12x = 35,345,485.86
  5. Step 5: Solve for x
    x = 35,345,485.86/6,670.12
  6. Step 6: Final answer
    x = 5,299.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.