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Finding the Fourth Proportional to 6,195.32, 9,291.14 and 2,034.55

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Solution

The fourth proportional to 6,195.32, 9,291.14 and 2,034.55 is: 3,051.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,195.32 : 9,291.14 = 2,034.55 : x
  2. Step 2: Convert to fraction form
    6,195.32/9,291.14 = 2,034.55/x
  3. Step 3: Cross multiply
    6,195.32x = 9,291.14 × 2,034.55
  4. Step 4: Simplify right side
    6,195.32x = 18,903,297.96
  5. Step 5: Solve for x
    x = 18,903,297.96/6,195.32
  6. Step 6: Final answer
    x = 3,051.22

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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.