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Finding the Fourth Proportional to 6,946.26, 9,585.84 and 3,802.44

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Solution

The fourth proportional to 6,946.26, 9,585.84 and 3,802.44 is: 5,247.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,946.26 : 9,585.84 = 3,802.44 : x
  2. Step 2: Convert to fraction form
    6,946.26/9,585.84 = 3,802.44/x
  3. Step 3: Cross multiply
    6,946.26x = 9,585.84 × 3,802.44
  4. Step 4: Simplify right side
    6,946.26x = 36,449,581.45
  5. Step 5: Solve for x
    x = 36,449,581.45/6,946.26
  6. Step 6: Final answer
    x = 5,247.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.