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Finding the Fourth Proportional to 6,193.11, 9,290.64 and 2,032.17

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Solution

The fourth proportional to 6,193.11, 9,290.64 and 2,032.17 is: 3,048.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193.11 : 9,290.64 = 2,032.17 : x
  2. Step 2: Convert to fraction form
    6,193.11/9,290.64 = 2,032.17/x
  3. Step 3: Cross multiply
    6,193.11x = 9,290.64 × 2,032.17
  4. Step 4: Simplify right side
    6,193.11x = 18,880,177.22
  5. Step 5: Solve for x
    x = 18,880,177.22/6,193.11
  6. Step 6: Final answer
    x = 3,048.58

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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.