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Finding the Fourth Proportional to 6,746.39, 9,309.72 and 3,762.28

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Solution

The fourth proportional to 6,746.39, 9,309.72 and 3,762.28 is: 5,191.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,746.39 : 9,309.72 = 3,762.28 : x
  2. Step 2: Convert to fraction form
    6,746.39/9,309.72 = 3,762.28/x
  3. Step 3: Cross multiply
    6,746.39x = 9,309.72 × 3,762.28
  4. Step 4: Simplify right side
    6,746.39x = 35,025,773.36
  5. Step 5: Solve for x
    x = 35,025,773.36/6,746.39
  6. Step 6: Final answer
    x = 5,191.78

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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.