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Finding the Fourth Proportional to 8,735.62, 13,105.14 and 2,814.06

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Solution

The fourth proportional to 8,735.62, 13,105.14 and 2,814.06 is: 4,221.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,735.62 : 13,105.14 = 2,814.06 : x
  2. Step 2: Convert to fraction form
    8,735.62/13,105.14 = 2,814.06/x
  3. Step 3: Cross multiply
    8,735.62x = 13,105.14 × 2,814.06
  4. Step 4: Simplify right side
    8,735.62x = 36,878,650.27
  5. Step 5: Solve for x
    x = 36,878,650.27/8,735.62
  6. Step 6: Final answer
    x = 4,221.64

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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.