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Finding the Fourth Proportional to 9,597.96, 13,245.85 and 5,821.29

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Solution

The fourth proportional to 9,597.96, 13,245.85 and 5,821.29 is: 8,033.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.96 : 13,245.85 = 5,821.29 : x
  2. Step 2: Convert to fraction form
    9,597.96/13,245.85 = 5,821.29/x
  3. Step 3: Cross multiply
    9,597.96x = 13,245.85 × 5,821.29
  4. Step 4: Simplify right side
    9,597.96x = 77,107,867.92
  5. Step 5: Solve for x
    x = 77,107,867.92/9,597.96
  6. Step 6: Final answer
    x = 8,033.78

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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.