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Finding the Fourth Proportional to 6,073.69, 9,105.63 and 2,561.43

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Solution

The fourth proportional to 6,073.69, 9,105.63 and 2,561.43 is: 3,840.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,073.69 : 9,105.63 = 2,561.43 : x
  2. Step 2: Convert to fraction form
    6,073.69/9,105.63 = 2,561.43/x
  3. Step 3: Cross multiply
    6,073.69x = 9,105.63 × 2,561.43
  4. Step 4: Simplify right side
    6,073.69x = 23,323,433.85
  5. Step 5: Solve for x
    x = 23,323,433.85/6,073.69
  6. Step 6: Final answer
    x = 3,840.08

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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.