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Finding the Fourth Proportional to 6,111.56, 9,154.57 and 3,909.10

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Solution

The fourth proportional to 6,111.56, 9,154.57 and 3,909.10 is: 5,855.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,111.56 : 9,154.57 = 3,909.10 : x
  2. Step 2: Convert to fraction form
    6,111.56/9,154.57 = 3,909.10/x
  3. Step 3: Cross multiply
    6,111.56x = 9,154.57 × 3,909.10
  4. Step 4: Simplify right side
    6,111.56x = 35,786,064.27
  5. Step 5: Solve for x
    x = 35,786,064.27/6,111.56
  6. Step 6: Final answer
    x = 5,855.48

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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.