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Finding the Fourth Proportional to 6,569.43, 9,839.67 and 5,430.78

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Solution

The fourth proportional to 6,569.43, 9,839.67 and 5,430.78 is: 8,134.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,569.43 : 9,839.67 = 5,430.78 : x
  2. Step 2: Convert to fraction form
    6,569.43/9,839.67 = 5,430.78/x
  3. Step 3: Cross multiply
    6,569.43x = 9,839.67 × 5,430.78
  4. Step 4: Simplify right side
    6,569.43x = 53,437,083.04
  5. Step 5: Solve for x
    x = 53,437,083.04/6,569.43
  6. Step 6: Final answer
    x = 8,134.20

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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.