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Finding the Fourth Proportional to 9,223.52, 12,728.24 and 5,031.84

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Solution

The fourth proportional to 9,223.52, 12,728.24 and 5,031.84 is: 6,943.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,223.52 : 12,728.24 = 5,031.84 : x
  2. Step 2: Convert to fraction form
    9,223.52/12,728.24 = 5,031.84/x
  3. Step 3: Cross multiply
    9,223.52x = 12,728.24 × 5,031.84
  4. Step 4: Simplify right side
    9,223.52x = 64,046,467.16
  5. Step 5: Solve for x
    x = 64,046,467.16/9,223.52
  6. Step 6: Final answer
    x = 6,943.82

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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.