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Finding the Fourth Proportional to 6,707, 9,256.74 and 3,911.96

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Solution

The fourth proportional to 6,707, 9,256.74 and 3,911.96 is: 5,399.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,707 : 9,256.74 = 3,911.96 : x
  2. Step 2: Convert to fraction form
    6,707/9,256.74 = 3,911.96/x
  3. Step 3: Cross multiply
    6,707x = 9,256.74 × 3,911.96
  4. Step 4: Simplify right side
    6,707x = 36,211,996.61
  5. Step 5: Solve for x
    x = 36,211,996.61/6,707
  6. Step 6: Final answer
    x = 5,399.13

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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.