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Finding the Fourth Proportional to 6,109.42, 8,431.02 and 3,314.92

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Solution

The fourth proportional to 6,109.42, 8,431.02 and 3,314.92 is: 4,574.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,109.42 : 8,431.02 = 3,314.92 : x
  2. Step 2: Convert to fraction form
    6,109.42/8,431.02 = 3,314.92/x
  3. Step 3: Cross multiply
    6,109.42x = 8,431.02 × 3,314.92
  4. Step 4: Simplify right side
    6,109.42x = 27,948,156.82
  5. Step 5: Solve for x
    x = 27,948,156.82/6,109.42
  6. Step 6: Final answer
    x = 4,574.60

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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.