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Finding the Fourth Proportional to 6,189.94, 9,284.96 and 2,906.74

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Solution

The fourth proportional to 6,189.94, 9,284.96 and 2,906.74 is: 4,360.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,189.94 : 9,284.96 = 2,906.74 : x
  2. Step 2: Convert to fraction form
    6,189.94/9,284.96 = 2,906.74/x
  3. Step 3: Cross multiply
    6,189.94x = 9,284.96 × 2,906.74
  4. Step 4: Simplify right side
    6,189.94x = 26,988,964.63
  5. Step 5: Solve for x
    x = 26,988,964.63/6,189.94
  6. Step 6: Final answer
    x = 4,360.13

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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.