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Finding the Fourth Proportional to 9,560.12, 13,194.50 and 5,581.22

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Solution

The fourth proportional to 9,560.12, 13,194.50 and 5,581.22 is: 7,702.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,560.12 : 13,194.50 = 5,581.22 : x
  2. Step 2: Convert to fraction form
    9,560.12/13,194.50 = 5,581.22/x
  3. Step 3: Cross multiply
    9,560.12x = 13,194.50 × 5,581.22
  4. Step 4: Simplify right side
    9,560.12x = 73,641,313.41
  5. Step 5: Solve for x
    x = 73,641,313.41/9,560.12
  6. Step 6: Final answer
    x = 7,702.97

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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.