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Finding the Fourth Proportional to 6,109.47, 8,431.07 and 3,314.97

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Solution

The fourth proportional to 6,109.47, 8,431.07 and 3,314.97 is: 4,574.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,109.47 : 8,431.07 = 3,314.97 : x
  2. Step 2: Convert to fraction form
    6,109.47/8,431.07 = 3,314.97/x
  3. Step 3: Cross multiply
    6,109.47x = 8,431.07 × 3,314.97
  4. Step 4: Simplify right side
    6,109.47x = 27,948,744.12
  5. Step 5: Solve for x
    x = 27,948,744.12/6,109.47
  6. Step 6: Final answer
    x = 4,574.66

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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.