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Finding the Fourth Proportional to 9,825.09, 14,737.78 and 5,470.22

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Solution

The fourth proportional to 9,825.09, 14,737.78 and 5,470.22 is: 8,205.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,825.09 : 14,737.78 = 5,470.22 : x
  2. Step 2: Convert to fraction form
    9,825.09/14,737.78 = 5,470.22/x
  3. Step 3: Cross multiply
    9,825.09x = 14,737.78 × 5,470.22
  4. Step 4: Simplify right side
    9,825.09x = 80,618,898.91
  5. Step 5: Solve for x
    x = 80,618,898.91/9,825.09
  6. Step 6: Final answer
    x = 8,205.41

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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.