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Finding the Fourth Proportional to 6,054.29, 9,084.17 and 3,091.21

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Solution

The fourth proportional to 6,054.29, 9,084.17 and 3,091.21 is: 4,638.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,054.29 : 9,084.17 = 3,091.21 : x
  2. Step 2: Convert to fraction form
    6,054.29/9,084.17 = 3,091.21/x
  3. Step 3: Cross multiply
    6,054.29x = 9,084.17 × 3,091.21
  4. Step 4: Simplify right side
    6,054.29x = 28,081,062.16
  5. Step 5: Solve for x
    x = 28,081,062.16/6,054.29
  6. Step 6: Final answer
    x = 4,638.21

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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.