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Finding the Fourth Proportional to 6,741.76, 9,303.78 and 3,757.90

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Solution

The fourth proportional to 6,741.76, 9,303.78 and 3,757.90 is: 5,185.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,741.76 : 9,303.78 = 3,757.90 : x
  2. Step 2: Convert to fraction form
    6,741.76/9,303.78 = 3,757.90/x
  3. Step 3: Cross multiply
    6,741.76x = 9,303.78 × 3,757.90
  4. Step 4: Simplify right side
    6,741.76x = 34,962,674.86
  5. Step 5: Solve for x
    x = 34,962,674.86/6,741.76
  6. Step 6: Final answer
    x = 5,185.99

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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.