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Finding the Fourth Proportional to 6,113.33, 9,164.49 and 2,215

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Solution

The fourth proportional to 6,113.33, 9,164.49 and 2,215 is: 3,320.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,113.33 : 9,164.49 = 2,215 : x
  2. Step 2: Convert to fraction form
    6,113.33/9,164.49 = 2,215/x
  3. Step 3: Cross multiply
    6,113.33x = 9,164.49 × 2,215
  4. Step 4: Simplify right side
    6,113.33x = 20,299,345.35
  5. Step 5: Solve for x
    x = 20,299,345.35/6,113.33
  6. Step 6: Final answer
    x = 3,320.51

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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.