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Finding the Fourth Proportional to 6,809.44, 9,397.20 and 4,324

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Solution

The fourth proportional to 6,809.44, 9,397.20 and 4,324 is: 5,967.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.44 : 9,397.20 = 4,324 : x
  2. Step 2: Convert to fraction form
    6,809.44/9,397.20 = 4,324/x
  3. Step 3: Cross multiply
    6,809.44x = 9,397.20 × 4,324
  4. Step 4: Simplify right side
    6,809.44x = 40,633,492.80
  5. Step 5: Solve for x
    x = 40,633,492.80/6,809.44
  6. Step 6: Final answer
    x = 5,967.23

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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.