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Finding the Fourth Proportional to 6,946.53, 9,585.84 and 3,802.11

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Solution

The fourth proportional to 6,946.53, 9,585.84 and 3,802.11 is: 5,246.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,946.53 : 9,585.84 = 3,802.11 : x
  2. Step 2: Convert to fraction form
    6,946.53/9,585.84 = 3,802.11/x
  3. Step 3: Cross multiply
    6,946.53x = 9,585.84 × 3,802.11
  4. Step 4: Simplify right side
    6,946.53x = 36,446,418.12
  5. Step 5: Solve for x
    x = 36,446,418.12/6,946.53
  6. Step 6: Final answer
    x = 5,246.71

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Why These Related Problems?

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