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Finding the Fourth Proportional to 6,422.09, 9,619.50 and 4,193.04

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Solution

The fourth proportional to 6,422.09, 9,619.50 and 4,193.04 is: 6,280.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,422.09 : 9,619.50 = 4,193.04 : x
  2. Step 2: Convert to fraction form
    6,422.09/9,619.50 = 4,193.04/x
  3. Step 3: Cross multiply
    6,422.09x = 9,619.50 × 4,193.04
  4. Step 4: Simplify right side
    6,422.09x = 40,334,948.28
  5. Step 5: Solve for x
    x = 40,334,948.28/6,422.09
  6. Step 6: Final answer
    x = 6,280.66

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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.