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Finding the Fourth Proportional to 6,516.18, 9,774.06 and 3,734.22

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Solution

The fourth proportional to 6,516.18, 9,774.06 and 3,734.22 is: 5,601.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,516.18 : 9,774.06 = 3,734.22 : x
  2. Step 2: Convert to fraction form
    6,516.18/9,774.06 = 3,734.22/x
  3. Step 3: Cross multiply
    6,516.18x = 9,774.06 × 3,734.22
  4. Step 4: Simplify right side
    6,516.18x = 36,498,490.33
  5. Step 5: Solve for x
    x = 36,498,490.33/6,516.18
  6. Step 6: Final answer
    x = 5,601.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.