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Finding the Fourth Proportional to 9,223.57, 12,728.73 and 5,031.82

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Solution

The fourth proportional to 9,223.57, 12,728.73 and 5,031.82 is: 6,944.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,223.57 : 12,728.73 = 5,031.82 : x
  2. Step 2: Convert to fraction form
    9,223.57/12,728.73 = 5,031.82/x
  3. Step 3: Cross multiply
    9,223.57x = 12,728.73 × 5,031.82
  4. Step 4: Simplify right side
    9,223.57x = 64,048,678.19
  5. Step 5: Solve for x
    x = 64,048,678.19/9,223.57
  6. Step 6: Final answer
    x = 6,944.02

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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.