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Finding the Fourth Proportional to 6,921.76, 9,551.88 and 3,778

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Solution

The fourth proportional to 6,921.76, 9,551.88 and 3,778 is: 5,213.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,921.76 : 9,551.88 = 3,778 : x
  2. Step 2: Convert to fraction form
    6,921.76/9,551.88 = 3,778/x
  3. Step 3: Cross multiply
    6,921.76x = 9,551.88 × 3,778
  4. Step 4: Simplify right side
    6,921.76x = 36,087,002.64
  5. Step 5: Solve for x
    x = 36,087,002.64/6,921.76
  6. Step 6: Final answer
    x = 5,213.56

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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.