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Finding the Fourth Proportional to 6,290.87, 9,437.66 and 1,908.21

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Solution

The fourth proportional to 6,290.87, 9,437.66 and 1,908.21 is: 2,862.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,290.87 : 9,437.66 = 1,908.21 : x
  2. Step 2: Convert to fraction form
    6,290.87/9,437.66 = 1,908.21/x
  3. Step 3: Cross multiply
    6,290.87x = 9,437.66 × 1,908.21
  4. Step 4: Simplify right side
    6,290.87x = 18,009,027.84
  5. Step 5: Solve for x
    x = 18,009,027.84/6,290.87
  6. Step 6: Final answer
    x = 2,862.73

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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.