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Finding the Fourth Proportional to 9,401.77, 14,098.51 and 2,826.42

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Solution

The fourth proportional to 9,401.77, 14,098.51 and 2,826.42 is: 4,238.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,401.77 : 14,098.51 = 2,826.42 : x
  2. Step 2: Convert to fraction form
    9,401.77/14,098.51 = 2,826.42/x
  3. Step 3: Cross multiply
    9,401.77x = 14,098.51 × 2,826.42
  4. Step 4: Simplify right side
    9,401.77x = 39,848,310.63
  5. Step 5: Solve for x
    x = 39,848,310.63/9,401.77
  6. Step 6: Final answer
    x = 4,238.38

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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.