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Finding the Fourth Proportional to 9,223.72, 12,728.70 and 5,031.96

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Solution

The fourth proportional to 9,223.72, 12,728.70 and 5,031.96 is: 6,944.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,223.72 : 12,728.70 = 5,031.96 : x
  2. Step 2: Convert to fraction form
    9,223.72/12,728.70 = 5,031.96/x
  3. Step 3: Cross multiply
    9,223.72x = 12,728.70 × 5,031.96
  4. Step 4: Simplify right side
    9,223.72x = 64,050,309.25
  5. Step 5: Solve for x
    x = 64,050,309.25/9,223.72
  6. Step 6: Final answer
    x = 6,944.09

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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.