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Finding the Fourth Proportional to 9,566.52, 13,211.82 and 7,816.92

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Solution

The fourth proportional to 9,566.52, 13,211.82 and 7,816.92 is: 10,795.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,566.52 : 13,211.82 = 7,816.92 : x
  2. Step 2: Convert to fraction form
    9,566.52/13,211.82 = 7,816.92/x
  3. Step 3: Cross multiply
    9,566.52x = 13,211.82 × 7,816.92
  4. Step 4: Simplify right side
    9,566.52x = 103,275,739.99
  5. Step 5: Solve for x
    x = 103,275,739.99/9,566.52
  6. Step 6: Final answer
    x = 10,795.54

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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.