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Finding the Fourth Proportional to 6,187.75, 9,281.64 and 2,083.75

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Solution

The fourth proportional to 6,187.75, 9,281.64 and 2,083.75 is: 3,125.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,187.75 : 9,281.64 = 2,083.75 : x
  2. Step 2: Convert to fraction form
    6,187.75/9,281.64 = 2,083.75/x
  3. Step 3: Cross multiply
    6,187.75x = 9,281.64 × 2,083.75
  4. Step 4: Simplify right side
    6,187.75x = 19,340,617.35
  5. Step 5: Solve for x
    x = 19,340,617.35/6,187.75
  6. Step 6: Final answer
    x = 3,125.63

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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.