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Finding the Fourth Proportional to 9,400.40, 14,098.44 and 2,826.44

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Solution

The fourth proportional to 9,400.40, 14,098.44 and 2,826.44 is: 4,239.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,400.40 : 14,098.44 = 2,826.44 : x
  2. Step 2: Convert to fraction form
    9,400.40/14,098.44 = 2,826.44/x
  3. Step 3: Cross multiply
    9,400.40x = 14,098.44 × 2,826.44
  4. Step 4: Simplify right side
    9,400.40x = 39,848,394.75
  5. Step 5: Solve for x
    x = 39,848,394.75/9,400.40
  6. Step 6: Final answer
    x = 4,239.01

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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.