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Finding the Fourth Proportional to 6,238.56, 9,355.41 and 3,117.54

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Solution

The fourth proportional to 6,238.56, 9,355.41 and 3,117.54 is: 4,675.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,238.56 : 9,355.41 = 3,117.54 : x
  2. Step 2: Convert to fraction form
    6,238.56/9,355.41 = 3,117.54/x
  3. Step 3: Cross multiply
    6,238.56x = 9,355.41 × 3,117.54
  4. Step 4: Simplify right side
    6,238.56x = 29,165,864.89
  5. Step 5: Solve for x
    x = 29,165,864.89/6,238.56
  6. Step 6: Final answer
    x = 4,675.10

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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.