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Finding the Fourth Proportional to 9,560.27, 13,193.15 and 5,311.31

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Solution

The fourth proportional to 9,560.27, 13,193.15 and 5,311.31 is: 7,329.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,560.27 : 13,193.15 = 5,311.31 : x
  2. Step 2: Convert to fraction form
    9,560.27/13,193.15 = 5,311.31/x
  3. Step 3: Cross multiply
    9,560.27x = 13,193.15 × 5,311.31
  4. Step 4: Simplify right side
    9,560.27x = 70,072,973.14
  5. Step 5: Solve for x
    x = 70,072,973.14/9,560.27
  6. Step 6: Final answer
    x = 7,329.60

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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.