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Finding the Fourth Proportional to 6,395.86, 9,590.88 and 2,696.07

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Solution

The fourth proportional to 6,395.86, 9,590.88 and 2,696.07 is: 4,042.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,395.86 : 9,590.88 = 2,696.07 : x
  2. Step 2: Convert to fraction form
    6,395.86/9,590.88 = 2,696.07/x
  3. Step 3: Cross multiply
    6,395.86x = 9,590.88 × 2,696.07
  4. Step 4: Simplify right side
    6,395.86x = 25,857,729.92
  5. Step 5: Solve for x
    x = 25,857,729.92/6,395.86
  6. Step 6: Final answer
    x = 4,042.88

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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.