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Finding the Fourth Proportional to 6,741.96, 9,303.96 and 3,909.92

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Solution

The fourth proportional to 6,741.96, 9,303.96 and 3,909.92 is: 5,395.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,741.96 : 9,303.96 = 3,909.92 : x
  2. Step 2: Convert to fraction form
    6,741.96/9,303.96 = 3,909.92/x
  3. Step 3: Cross multiply
    6,741.96x = 9,303.96 × 3,909.92
  4. Step 4: Simplify right side
    6,741.96x = 36,377,739.28
  5. Step 5: Solve for x
    x = 36,377,739.28/6,741.96
  6. Step 6: Final answer
    x = 5,395.72

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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.