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Finding the Fourth Proportional to 6,223.61, 9,336.50 and 2,327.92

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Solution

The fourth proportional to 6,223.61, 9,336.50 and 2,327.92 is: 3,492.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,223.61 : 9,336.50 = 2,327.92 : x
  2. Step 2: Convert to fraction form
    6,223.61/9,336.50 = 2,327.92/x
  3. Step 3: Cross multiply
    6,223.61x = 9,336.50 × 2,327.92
  4. Step 4: Simplify right side
    6,223.61x = 21,734,625.08
  5. Step 5: Solve for x
    x = 21,734,625.08/6,223.61
  6. Step 6: Final answer
    x = 3,492.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.