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Finding the Fourth Proportional to 6,388.33, 9,574.75 and 3,419.48

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Solution

The fourth proportional to 6,388.33, 9,574.75 and 3,419.48 is: 5,125.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,388.33 : 9,574.75 = 3,419.48 : x
  2. Step 2: Convert to fraction form
    6,388.33/9,574.75 = 3,419.48/x
  3. Step 3: Cross multiply
    6,388.33x = 9,574.75 × 3,419.48
  4. Step 4: Simplify right side
    6,388.33x = 32,740,657.15
  5. Step 5: Solve for x
    x = 32,740,657.15/6,388.33
  6. Step 6: Final answer
    x = 5,125.07

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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.