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Finding the Fourth Proportional to 6,114.33, 9,165.99 and 2,216

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Solution

The fourth proportional to 6,114.33, 9,165.99 and 2,216 is: 3,322.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.33 : 9,165.99 = 2,216 : x
  2. Step 2: Convert to fraction form
    6,114.33/9,165.99 = 2,216/x
  3. Step 3: Cross multiply
    6,114.33x = 9,165.99 × 2,216
  4. Step 4: Simplify right side
    6,114.33x = 20,311,833.84
  5. Step 5: Solve for x
    x = 20,311,833.84/6,114.33
  6. Step 6: Final answer
    x = 3,322.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.