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Finding the Fourth Proportional to 9,222.31, 13,833.44 and 5,525.65

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Solution

The fourth proportional to 9,222.31, 13,833.44 and 5,525.65 is: 8,288.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,222.31 : 13,833.44 = 5,525.65 : x
  2. Step 2: Convert to fraction form
    9,222.31/13,833.44 = 5,525.65/x
  3. Step 3: Cross multiply
    9,222.31x = 13,833.44 × 5,525.65
  4. Step 4: Simplify right side
    9,222.31x = 76,438,720.11
  5. Step 5: Solve for x
    x = 76,438,720.11/9,222.31
  6. Step 6: Final answer
    x = 8,288.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.