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Finding the Fourth Proportional to 6,095.76, 9,146.97 and 2,585.22

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Solution

The fourth proportional to 6,095.76, 9,146.97 and 2,585.22 is: 3,879.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,095.76 : 9,146.97 = 2,585.22 : x
  2. Step 2: Convert to fraction form
    6,095.76/9,146.97 = 2,585.22/x
  3. Step 3: Cross multiply
    6,095.76x = 9,146.97 × 2,585.22
  4. Step 4: Simplify right side
    6,095.76x = 23,646,929.78
  5. Step 5: Solve for x
    x = 23,646,929.78/6,095.76
  6. Step 6: Final answer
    x = 3,879.24

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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.