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Finding the Fourth Proportional to 9,404.64, 14,107.82 and 3,402.22

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Solution

The fourth proportional to 9,404.64, 14,107.82 and 3,402.22 is: 5,103.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,404.64 : 14,107.82 = 3,402.22 : x
  2. Step 2: Convert to fraction form
    9,404.64/14,107.82 = 3,402.22/x
  3. Step 3: Cross multiply
    9,404.64x = 14,107.82 × 3,402.22
  4. Step 4: Simplify right side
    9,404.64x = 47,997,855.51
  5. Step 5: Solve for x
    x = 47,997,855.51/9,404.64
  6. Step 6: Final answer
    x = 5,103.64

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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.