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Finding the Fourth Proportional to 6,238.56, 9,357.84 and 3,639.67

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Solution

The fourth proportional to 6,238.56, 9,357.84 and 3,639.67 is: 5,459.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,238.56 : 9,357.84 = 3,639.67 : x
  2. Step 2: Convert to fraction form
    6,238.56/9,357.84 = 3,639.67/x
  3. Step 3: Cross multiply
    6,238.56x = 9,357.84 × 3,639.67
  4. Step 4: Simplify right side
    6,238.56x = 34,059,449.51
  5. Step 5: Solve for x
    x = 34,059,449.51/6,238.56
  6. Step 6: Final answer
    x = 5,459.51

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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.