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Finding the Fourth Proportional to 6,074.57, 9,111.97 and 1,914.72

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Solution

The fourth proportional to 6,074.57, 9,111.97 and 1,914.72 is: 2,872.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,074.57 : 9,111.97 = 1,914.72 : x
  2. Step 2: Convert to fraction form
    6,074.57/9,111.97 = 1,914.72/x
  3. Step 3: Cross multiply
    6,074.57x = 9,111.97 × 1,914.72
  4. Step 4: Simplify right side
    6,074.57x = 17,446,871.20
  5. Step 5: Solve for x
    x = 17,446,871.20/6,074.57
  6. Step 6: Final answer
    x = 2,872.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.