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Finding the Fourth Proportional to 6,193.80, 9,291.14 and 2,496.05

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Solution

The fourth proportional to 6,193.80, 9,291.14 and 2,496.05 is: 3,744.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193.80 : 9,291.14 = 2,496.05 : x
  2. Step 2: Convert to fraction form
    6,193.80/9,291.14 = 2,496.05/x
  3. Step 3: Cross multiply
    6,193.80x = 9,291.14 × 2,496.05
  4. Step 4: Simplify right side
    6,193.80x = 23,191,091.06
  5. Step 5: Solve for x
    x = 23,191,091.06/6,193.80
  6. Step 6: Final answer
    x = 3,744.24

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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.