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Finding the Fourth Proportional to 9,222.56, 12,727.44 and 5,031.20

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Solution

The fourth proportional to 9,222.56, 12,727.44 and 5,031.20 is: 6,943.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,222.56 : 12,727.44 = 5,031.20 : x
  2. Step 2: Convert to fraction form
    9,222.56/12,727.44 = 5,031.20/x
  3. Step 3: Cross multiply
    9,222.56x = 12,727.44 × 5,031.20
  4. Step 4: Simplify right side
    9,222.56x = 64,034,296.13
  5. Step 5: Solve for x
    x = 64,034,296.13/9,222.56
  6. Step 6: Final answer
    x = 6,943.22

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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.