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Finding the Fourth Proportional to 6,238.98, 9,357.20 and 2,288.89

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Solution

The fourth proportional to 6,238.98, 9,357.20 and 2,288.89 is: 3,432.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,238.98 : 9,357.20 = 2,288.89 : x
  2. Step 2: Convert to fraction form
    6,238.98/9,357.20 = 2,288.89/x
  3. Step 3: Cross multiply
    6,238.98x = 9,357.20 × 2,288.89
  4. Step 4: Simplify right side
    6,238.98x = 21,417,590.06
  5. Step 5: Solve for x
    x = 21,417,590.06/6,238.98
  6. Step 6: Final answer
    x = 3,432.87

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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.