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Finding the Fourth Proportional to 9,237.87, 13,858.17 and 3,394.02

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Solution

The fourth proportional to 9,237.87, 13,858.17 and 3,394.02 is: 5,091.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,237.87 : 13,858.17 = 3,394.02 : x
  2. Step 2: Convert to fraction form
    9,237.87/13,858.17 = 3,394.02/x
  3. Step 3: Cross multiply
    9,237.87x = 13,858.17 × 3,394.02
  4. Step 4: Simplify right side
    9,237.87x = 47,034,964.48
  5. Step 5: Solve for x
    x = 47,034,964.48/9,237.87
  6. Step 6: Final answer
    x = 5,091.54

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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.