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Finding the Fourth Proportional to 9,029.84, 12,458.67 and 5,201.32

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Solution

The fourth proportional to 9,029.84, 12,458.67 and 5,201.32 is: 7,176.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,029.84 : 12,458.67 = 5,201.32 : x
  2. Step 2: Convert to fraction form
    9,029.84/12,458.67 = 5,201.32/x
  3. Step 3: Cross multiply
    9,029.84x = 12,458.67 × 5,201.32
  4. Step 4: Simplify right side
    9,029.84x = 64,801,529.44
  5. Step 5: Solve for x
    x = 64,801,529.44/9,029.84
  6. Step 6: Final answer
    x = 7,176.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.