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Finding the Fourth Proportional to 6,809.14, 9,399.84 and 4,572.63

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Solution

The fourth proportional to 6,809.14, 9,399.84 and 4,572.63 is: 6,312.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.14 : 9,399.84 = 4,572.63 : x
  2. Step 2: Convert to fraction form
    6,809.14/9,399.84 = 4,572.63/x
  3. Step 3: Cross multiply
    6,809.14x = 9,399.84 × 4,572.63
  4. Step 4: Simplify right side
    6,809.14x = 42,981,990.38
  5. Step 5: Solve for x
    x = 42,981,990.38/6,809.14
  6. Step 6: Final answer
    x = 6,312.40

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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.