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Finding the Fourth Proportional to 6,189.93, 9,280.28 and 3,724.17

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Solution

The fourth proportional to 6,189.93, 9,280.28 and 3,724.17 is: 5,583.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,189.93 : 9,280.28 = 3,724.17 : x
  2. Step 2: Convert to fraction form
    6,189.93/9,280.28 = 3,724.17/x
  3. Step 3: Cross multiply
    6,189.93x = 9,280.28 × 3,724.17
  4. Step 4: Simplify right side
    6,189.93x = 34,561,330.45
  5. Step 5: Solve for x
    x = 34,561,330.45/6,189.93
  6. Step 6: Final answer
    x = 5,583.48

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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.