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Finding the Fourth Proportional to 6,569.71, 9,849.33 and 3,793.23

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Solution

The fourth proportional to 6,569.71, 9,849.33 and 3,793.23 is: 5,686.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,569.71 : 9,849.33 = 3,793.23 : x
  2. Step 2: Convert to fraction form
    6,569.71/9,849.33 = 3,793.23/x
  3. Step 3: Cross multiply
    6,569.71x = 9,849.33 × 3,793.23
  4. Step 4: Simplify right side
    6,569.71x = 37,360,808.14
  5. Step 5: Solve for x
    x = 37,360,808.14/6,569.71
  6. Step 6: Final answer
    x = 5,686.83

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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.