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Finding the Fourth Proportional to 6,928.90, 9,561.88 and 3,742.20

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Solution

The fourth proportional to 6,928.90, 9,561.88 and 3,742.20 is: 5,164.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,928.90 : 9,561.88 = 3,742.20 : x
  2. Step 2: Convert to fraction form
    6,928.90/9,561.88 = 3,742.20/x
  3. Step 3: Cross multiply
    6,928.90x = 9,561.88 × 3,742.20
  4. Step 4: Simplify right side
    6,928.90x = 35,782,452.79
  5. Step 5: Solve for x
    x = 35,782,452.79/6,928.90
  6. Step 6: Final answer
    x = 5,164.23

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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.