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Finding the Fourth Proportional to 6,214.02, 9,320.90 and 3,615

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Solution

The fourth proportional to 6,214.02, 9,320.90 and 3,615 is: 5,422.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214.02 : 9,320.90 = 3,615 : x
  2. Step 2: Convert to fraction form
    6,214.02/9,320.90 = 3,615/x
  3. Step 3: Cross multiply
    6,214.02x = 9,320.90 × 3,615
  4. Step 4: Simplify right side
    6,214.02x = 33,695,035.43
  5. Step 5: Solve for x
    x = 33,695,035.43/6,214.02
  6. Step 6: Final answer
    x = 5,422.42

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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.