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Finding the Fourth Proportional to 9,560.54, 13,193.36 and 5,311.59

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Solution

The fourth proportional to 9,560.54, 13,193.36 and 5,311.59 is: 7,329.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,560.54 : 13,193.36 = 5,311.59 : x
  2. Step 2: Convert to fraction form
    9,560.54/13,193.36 = 5,311.59/x
  3. Step 3: Cross multiply
    9,560.54x = 13,193.36 × 5,311.59
  4. Step 4: Simplify right side
    9,560.54x = 70,077,692.81
  5. Step 5: Solve for x
    x = 70,077,692.81/9,560.54
  6. Step 6: Final answer
    x = 7,329.89

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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.