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Finding the Fourth Proportional to 9,409.97, 14,102.66 and 3,856.82

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Solution

The fourth proportional to 9,409.97, 14,102.66 and 3,856.82 is: 5,780.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409.97 : 14,102.66 = 3,856.82 : x
  2. Step 2: Convert to fraction form
    9,409.97/14,102.66 = 3,856.82/x
  3. Step 3: Cross multiply
    9,409.97x = 14,102.66 × 3,856.82
  4. Step 4: Simplify right side
    9,409.97x = 54,391,331.34
  5. Step 5: Solve for x
    x = 54,391,331.34/9,409.97
  6. Step 6: Final answer
    x = 5,780.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.