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Finding the Fourth Proportional to 6,328.22, 9,492.77 and 2,432.61

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Solution

The fourth proportional to 6,328.22, 9,492.77 and 2,432.61 is: 3,649.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,328.22 : 9,492.77 = 2,432.61 : x
  2. Step 2: Convert to fraction form
    6,328.22/9,492.77 = 2,432.61/x
  3. Step 3: Cross multiply
    6,328.22x = 9,492.77 × 2,432.61
  4. Step 4: Simplify right side
    6,328.22x = 23,092,213.31
  5. Step 5: Solve for x
    x = 23,092,213.31/6,328.22
  6. Step 6: Final answer
    x = 3,649.09

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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.