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Finding the Fourth Proportional to 9,222.06, 13,833.06 and 5,525.40

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Solution

The fourth proportional to 9,222.06, 13,833.06 and 5,525.40 is: 8,288.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,222.06 : 13,833.06 = 5,525.40 : x
  2. Step 2: Convert to fraction form
    9,222.06/13,833.06 = 5,525.40/x
  3. Step 3: Cross multiply
    9,222.06x = 13,833.06 × 5,525.40
  4. Step 4: Simplify right side
    9,222.06x = 76,433,189.72
  5. Step 5: Solve for x
    x = 76,433,189.72/9,222.06
  6. Step 6: Final answer
    x = 8,288.08

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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.