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Finding the Fourth Proportional to 9,722.43, 14,569.07 and 5,822.55

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Solution

The fourth proportional to 9,722.43, 14,569.07 and 5,822.55 is: 8,725.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722.43 : 14,569.07 = 5,822.55 : x
  2. Step 2: Convert to fraction form
    9,722.43/14,569.07 = 5,822.55/x
  3. Step 3: Cross multiply
    9,722.43x = 14,569.07 × 5,822.55
  4. Step 4: Simplify right side
    9,722.43x = 84,829,109.42
  5. Step 5: Solve for x
    x = 84,829,109.42/9,722.43
  6. Step 6: Final answer
    x = 8,725.09

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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.