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Finding the Fourth Proportional to 6,095.85, 9,143.82 and 2,585.40

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Solution

The fourth proportional to 6,095.85, 9,143.82 and 2,585.40 is: 3,878.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,095.85 : 9,143.82 = 2,585.40 : x
  2. Step 2: Convert to fraction form
    6,095.85/9,143.82 = 2,585.40/x
  3. Step 3: Cross multiply
    6,095.85x = 9,143.82 × 2,585.40
  4. Step 4: Simplify right side
    6,095.85x = 23,640,432.23
  5. Step 5: Solve for x
    x = 23,640,432.23/6,095.85
  6. Step 6: Final answer
    x = 3,878.12

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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.