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Finding the Fourth Proportional to 6,113.06, 9,164.01 and 2,216.60

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Solution

The fourth proportional to 6,113.06, 9,164.01 and 2,216.60 is: 3,322.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,113.06 : 9,164.01 = 2,216.60 : x
  2. Step 2: Convert to fraction form
    6,113.06/9,164.01 = 2,216.60/x
  3. Step 3: Cross multiply
    6,113.06x = 9,164.01 × 2,216.60
  4. Step 4: Simplify right side
    6,113.06x = 20,312,944.57
  5. Step 5: Solve for x
    x = 20,312,944.57/6,113.06
  6. Step 6: Final answer
    x = 3,322.88

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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.