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Finding the Fourth Proportional to 6,237.75, 9,358.17 and 1,855.19

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Solution

The fourth proportional to 6,237.75, 9,358.17 and 1,855.19 is: 2,783.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,237.75 : 9,358.17 = 1,855.19 : x
  2. Step 2: Convert to fraction form
    6,237.75/9,358.17 = 1,855.19/x
  3. Step 3: Cross multiply
    6,237.75x = 9,358.17 × 1,855.19
  4. Step 4: Simplify right side
    6,237.75x = 17,361,206.80
  5. Step 5: Solve for x
    x = 17,361,206.80/6,237.75
  6. Step 6: Final answer
    x = 2,783.25

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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.