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Finding the Fourth Proportional to 9,173.46, 12,663.25 and 6,193.33

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Solution

The fourth proportional to 9,173.46, 12,663.25 and 6,193.33 is: 8,549.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,173.46 : 12,663.25 = 6,193.33 : x
  2. Step 2: Convert to fraction form
    9,173.46/12,663.25 = 6,193.33/x
  3. Step 3: Cross multiply
    9,173.46x = 12,663.25 × 6,193.33
  4. Step 4: Simplify right side
    9,173.46x = 78,427,627.37
  5. Step 5: Solve for x
    x = 78,427,627.37/9,173.46
  6. Step 6: Final answer
    x = 8,549.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.