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Finding the Fourth Proportional to 6,670.98, 9,207.13 and 3,838.13

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Solution

The fourth proportional to 6,670.98, 9,207.13 and 3,838.13 is: 5,297.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,670.98 : 9,207.13 = 3,838.13 : x
  2. Step 2: Convert to fraction form
    6,670.98/9,207.13 = 3,838.13/x
  3. Step 3: Cross multiply
    6,670.98x = 9,207.13 × 3,838.13
  4. Step 4: Simplify right side
    6,670.98x = 35,338,161.87
  5. Step 5: Solve for x
    x = 35,338,161.87/6,670.98
  6. Step 6: Final answer
    x = 5,297.30

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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.