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Finding the Fourth Proportional to 6,222.27, 9,351.72 and 5,764.02

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Solution

The fourth proportional to 6,222.27, 9,351.72 and 5,764.02 is: 8,663.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,222.27 : 9,351.72 = 5,764.02 : x
  2. Step 2: Convert to fraction form
    6,222.27/9,351.72 = 5,764.02/x
  3. Step 3: Cross multiply
    6,222.27x = 9,351.72 × 5,764.02
  4. Step 4: Simplify right side
    6,222.27x = 53,903,501.11
  5. Step 5: Solve for x
    x = 53,903,501.11/6,222.27
  6. Step 6: Final answer
    x = 8,663.00

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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.