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Finding the Fourth Proportional to 9,334.01, 14,003.06 and 6,861.33

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Solution

The fourth proportional to 9,334.01, 14,003.06 and 6,861.33 is: 10,293.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,334.01 : 14,003.06 = 6,861.33 : x
  2. Step 2: Convert to fraction form
    9,334.01/14,003.06 = 6,861.33/x
  3. Step 3: Cross multiply
    9,334.01x = 14,003.06 × 6,861.33
  4. Step 4: Simplify right side
    9,334.01x = 96,079,615.67
  5. Step 5: Solve for x
    x = 96,079,615.67/9,334.01
  6. Step 6: Final answer
    x = 10,293.50

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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.