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Finding the Fourth Proportional to 8,906.14, 13,358.52 and 3,639.75

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Solution

The fourth proportional to 8,906.14, 13,358.52 and 3,639.75 is: 5,459.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,906.14 : 13,358.52 = 3,639.75 : x
  2. Step 2: Convert to fraction form
    8,906.14/13,358.52 = 3,639.75/x
  3. Step 3: Cross multiply
    8,906.14x = 13,358.52 × 3,639.75
  4. Step 4: Simplify right side
    8,906.14x = 48,621,673.17
  5. Step 5: Solve for x
    x = 48,621,673.17/8,906.14
  6. Step 6: Final answer
    x = 5,459.34

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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.