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Finding the Fourth Proportional to 6,742.60, 9,303.66 and 3,757.78

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Solution

The fourth proportional to 6,742.60, 9,303.66 and 3,757.78 is: 5,185.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,742.60 : 9,303.66 = 3,757.78 : x
  2. Step 2: Convert to fraction form
    6,742.60/9,303.66 = 3,757.78/x
  3. Step 3: Cross multiply
    6,742.60x = 9,303.66 × 3,757.78
  4. Step 4: Simplify right side
    6,742.60x = 34,961,107.47
  5. Step 5: Solve for x
    x = 34,961,107.47/6,742.60
  6. Step 6: Final answer
    x = 5,185.11

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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.