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Finding the Fourth Proportional to 6,742.44, 9,309.16 and 4,225.60

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Solution

The fourth proportional to 6,742.44, 9,309.16 and 4,225.60 is: 5,834.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,742.44 : 9,309.16 = 4,225.60 : x
  2. Step 2: Convert to fraction form
    6,742.44/9,309.16 = 4,225.60/x
  3. Step 3: Cross multiply
    6,742.44x = 9,309.16 × 4,225.60
  4. Step 4: Simplify right side
    6,742.44x = 39,336,786.50
  5. Step 5: Solve for x
    x = 39,336,786.50/6,742.44
  6. Step 6: Final answer
    x = 5,834.21

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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.