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Finding the Fourth Proportional to 6,707.18, 9,256.32 and 3,874.67

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Solution

The fourth proportional to 6,707.18, 9,256.32 and 3,874.67 is: 5,347.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,707.18 : 9,256.32 = 3,874.67 : x
  2. Step 2: Convert to fraction form
    6,707.18/9,256.32 = 3,874.67/x
  3. Step 3: Cross multiply
    6,707.18x = 9,256.32 × 3,874.67
  4. Step 4: Simplify right side
    6,707.18x = 35,865,179.29
  5. Step 5: Solve for x
    x = 35,865,179.29/6,707.18
  6. Step 6: Final answer
    x = 5,347.29

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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.