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Finding the Fourth Proportional to 6,746.27, 9,309.94 and 3,913.76

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Solution

The fourth proportional to 6,746.27, 9,309.94 and 3,913.76 is: 5,401.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,746.27 : 9,309.94 = 3,913.76 : x
  2. Step 2: Convert to fraction form
    6,746.27/9,309.94 = 3,913.76/x
  3. Step 3: Cross multiply
    6,746.27x = 9,309.94 × 3,913.76
  4. Step 4: Simplify right side
    6,746.27x = 36,436,884.26
  5. Step 5: Solve for x
    x = 36,436,884.26/6,746.27
  6. Step 6: Final answer
    x = 5,401.05

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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.