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Finding the Fourth Proportional to 6,317.92, 9,482.73 and 3,200.14

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Solution

The fourth proportional to 6,317.92, 9,482.73 and 3,200.14 is: 4,803.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,317.92 : 9,482.73 = 3,200.14 : x
  2. Step 2: Convert to fraction form
    6,317.92/9,482.73 = 3,200.14/x
  3. Step 3: Cross multiply
    6,317.92x = 9,482.73 × 3,200.14
  4. Step 4: Simplify right side
    6,317.92x = 30,346,063.58
  5. Step 5: Solve for x
    x = 30,346,063.58/6,317.92
  6. Step 6: Final answer
    x = 4,803.17

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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.