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Finding the Fourth Proportional to 6,096.01, 9,142.20 and 2,585.96

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Solution

The fourth proportional to 6,096.01, 9,142.20 and 2,585.96 is: 3,878.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.01 : 9,142.20 = 2,585.96 : x
  2. Step 2: Convert to fraction form
    6,096.01/9,142.20 = 2,585.96/x
  3. Step 3: Cross multiply
    6,096.01x = 9,142.20 × 2,585.96
  4. Step 4: Simplify right side
    6,096.01x = 23,641,363.51
  5. Step 5: Solve for x
    x = 23,641,363.51/6,096.01
  6. Step 6: Final answer
    x = 3,878.17

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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.