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Finding the Fourth Proportional to 6,920.14, 9,549.82 and 3,776.33

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Solution

The fourth proportional to 6,920.14, 9,549.82 and 3,776.33 is: 5,211.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,920.14 : 9,549.82 = 3,776.33 : x
  2. Step 2: Convert to fraction form
    6,920.14/9,549.82 = 3,776.33/x
  3. Step 3: Cross multiply
    6,920.14x = 9,549.82 × 3,776.33
  4. Step 4: Simplify right side
    6,920.14x = 36,063,264.54
  5. Step 5: Solve for x
    x = 36,063,264.54/6,920.14
  6. Step 6: Final answer
    x = 5,211.35

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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.