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Finding the Fourth Proportional to 6,706.95, 9,256.41 and 3,874.32

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Solution

The fourth proportional to 6,706.95, 9,256.41 and 3,874.32 is: 5,347.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.95 : 9,256.41 = 3,874.32 : x
  2. Step 2: Convert to fraction form
    6,706.95/9,256.41 = 3,874.32/x
  3. Step 3: Cross multiply
    6,706.95x = 9,256.41 × 3,874.32
  4. Step 4: Simplify right side
    6,706.95x = 35,862,294.39
  5. Step 5: Solve for x
    x = 35,862,294.39/6,706.95
  6. Step 6: Final answer
    x = 5,347.03

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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.