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Finding the Fourth Proportional to 9,560.68, 13,193.82 and 5,369.32

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Solution

The fourth proportional to 9,560.68, 13,193.82 and 5,369.32 is: 7,409.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,560.68 : 13,193.82 = 5,369.32 : x
  2. Step 2: Convert to fraction form
    9,560.68/13,193.82 = 5,369.32/x
  3. Step 3: Cross multiply
    9,560.68x = 13,193.82 × 5,369.32
  4. Step 4: Simplify right side
    9,560.68x = 70,841,841.60
  5. Step 5: Solve for x
    x = 70,841,841.60/9,560.68
  6. Step 6: Final answer
    x = 7,409.71

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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.