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Finding the Fourth Proportional to 9,566.57, 13,202.06 and 5,317.92

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Solution

The fourth proportional to 9,566.57, 13,202.06 and 5,317.92 is: 7,338.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,566.57 : 13,202.06 = 5,317.92 : x
  2. Step 2: Convert to fraction form
    9,566.57/13,202.06 = 5,317.92/x
  3. Step 3: Cross multiply
    9,566.57x = 13,202.06 × 5,317.92
  4. Step 4: Simplify right side
    9,566.57x = 70,207,472.33
  5. Step 5: Solve for x
    x = 70,207,472.33/9,566.57
  6. Step 6: Final answer
    x = 7,338.83

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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.