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Finding the Fourth Proportional to 9,665.54, 14,498.19 and 3,822.11

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Solution

The fourth proportional to 9,665.54, 14,498.19 and 3,822.11 is: 5,733.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,665.54 : 14,498.19 = 3,822.11 : x
  2. Step 2: Convert to fraction form
    9,665.54/14,498.19 = 3,822.11/x
  3. Step 3: Cross multiply
    9,665.54x = 14,498.19 × 3,822.11
  4. Step 4: Simplify right side
    9,665.54x = 55,413,604.49
  5. Step 5: Solve for x
    x = 55,413,604.49/9,665.54
  6. Step 6: Final answer
    x = 5,733.11

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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.