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Finding the Fourth Proportional to 9,566.70, 13,201.97 and 5,317.75

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Solution

The fourth proportional to 9,566.70, 13,201.97 and 5,317.75 is: 7,338.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,566.70 : 13,201.97 = 5,317.75 : x
  2. Step 2: Convert to fraction form
    9,566.70/13,201.97 = 5,317.75/x
  3. Step 3: Cross multiply
    9,566.70x = 13,201.97 × 5,317.75
  4. Step 4: Simplify right side
    9,566.70x = 70,204,709.96
  5. Step 5: Solve for x
    x = 70,204,709.96/9,566.70
  6. Step 6: Final answer
    x = 7,338.45

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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.