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Finding the Fourth Proportional to 6,334.32, 9,502.02 and 2,173.08

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Solution

The fourth proportional to 6,334.32, 9,502.02 and 2,173.08 is: 3,259.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,334.32 : 9,502.02 = 2,173.08 : x
  2. Step 2: Convert to fraction form
    6,334.32/9,502.02 = 2,173.08/x
  3. Step 3: Cross multiply
    6,334.32x = 9,502.02 × 2,173.08
  4. Step 4: Simplify right side
    6,334.32x = 20,648,649.62
  5. Step 5: Solve for x
    x = 20,648,649.62/6,334.32
  6. Step 6: Final answer
    x = 3,259.81

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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.