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Finding the Fourth Proportional to 6,438.33, 9,639.93 and 4,873.60

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Solution

The fourth proportional to 6,438.33, 9,639.93 and 4,873.60 is: 7,297.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.33 : 9,639.93 = 4,873.60 : x
  2. Step 2: Convert to fraction form
    6,438.33/9,639.93 = 4,873.60/x
  3. Step 3: Cross multiply
    6,438.33x = 9,639.93 × 4,873.60
  4. Step 4: Simplify right side
    6,438.33x = 46,981,162.85
  5. Step 5: Solve for x
    x = 46,981,162.85/6,438.33
  6. Step 6: Final answer
    x = 7,297.10

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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.