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Finding the Fourth Proportional to 6,141.52, 9,189.06 and 3,770.26

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Solution

The fourth proportional to 6,141.52, 9,189.06 and 3,770.26 is: 5,641.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141.52 : 9,189.06 = 3,770.26 : x
  2. Step 2: Convert to fraction form
    6,141.52/9,189.06 = 3,770.26/x
  3. Step 3: Cross multiply
    6,141.52x = 9,189.06 × 3,770.26
  4. Step 4: Simplify right side
    6,141.52x = 34,645,145.36
  5. Step 5: Solve for x
    x = 34,645,145.36/6,141.52
  6. Step 6: Final answer
    x = 5,641.14

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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.