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Finding the Fourth Proportional to 6,705.11, 9,252.90 and 3,720.76

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Solution

The fourth proportional to 6,705.11, 9,252.90 and 3,720.76 is: 5,134.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.11 : 9,252.90 = 3,720.76 : x
  2. Step 2: Convert to fraction form
    6,705.11/9,252.90 = 3,720.76/x
  3. Step 3: Cross multiply
    6,705.11x = 9,252.90 × 3,720.76
  4. Step 4: Simplify right side
    6,705.11x = 34,427,797.07
  5. Step 5: Solve for x
    x = 34,427,797.07/6,705.11
  6. Step 6: Final answer
    x = 5,134.56

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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.