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Finding the Fourth Proportional to 6,539.69, 9,019.98 and 4,150.41

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Solution

The fourth proportional to 6,539.69, 9,019.98 and 4,150.41 is: 5,724.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,539.69 : 9,019.98 = 4,150.41 : x
  2. Step 2: Convert to fraction form
    6,539.69/9,019.98 = 4,150.41/x
  3. Step 3: Cross multiply
    6,539.69x = 9,019.98 × 4,150.41
  4. Step 4: Simplify right side
    6,539.69x = 37,436,615.19
  5. Step 5: Solve for x
    x = 37,436,615.19/6,539.69
  6. Step 6: Final answer
    x = 5,724.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.