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Finding the Fourth Proportional to 9,876.71, 14,821.23 and 5,923.69

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Solution

The fourth proportional to 9,876.71, 14,821.23 and 5,923.69 is: 8,889.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,876.71 : 14,821.23 = 5,923.69 : x
  2. Step 2: Convert to fraction form
    9,876.71/14,821.23 = 5,923.69/x
  3. Step 3: Cross multiply
    9,876.71x = 14,821.23 × 5,923.69
  4. Step 4: Simplify right side
    9,876.71x = 87,796,371.94
  5. Step 5: Solve for x
    x = 87,796,371.94/9,876.71
  6. Step 6: Final answer
    x = 8,889.23

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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.