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Finding the Fourth Proportional to 6,358.29, 9,539.05 and 3,197.67

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Solution

The fourth proportional to 6,358.29, 9,539.05 and 3,197.67 is: 4,797.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,358.29 : 9,539.05 = 3,197.67 : x
  2. Step 2: Convert to fraction form
    6,358.29/9,539.05 = 3,197.67/x
  3. Step 3: Cross multiply
    6,358.29x = 9,539.05 × 3,197.67
  4. Step 4: Simplify right side
    6,358.29x = 30,502,734.01
  5. Step 5: Solve for x
    x = 30,502,734.01/6,358.29
  6. Step 6: Final answer
    x = 4,797.32

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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.