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Finding the Fourth Proportional to 6,128.66, 9,194.35 and 2,233.07

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Solution

The fourth proportional to 6,128.66, 9,194.35 and 2,233.07 is: 3,350.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,128.66 : 9,194.35 = 2,233.07 : x
  2. Step 2: Convert to fraction form
    6,128.66/9,194.35 = 2,233.07/x
  3. Step 3: Cross multiply
    6,128.66x = 9,194.35 × 2,233.07
  4. Step 4: Simplify right side
    6,128.66x = 20,531,581.18
  5. Step 5: Solve for x
    x = 20,531,581.18/6,128.66
  6. Step 6: Final answer
    x = 3,350.10

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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.