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Finding the Fourth Proportional to 9,879.68, 14,813.01 and 5,922.02

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Solution

The fourth proportional to 9,879.68, 14,813.01 and 5,922.02 is: 8,879.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,879.68 : 14,813.01 = 5,922.02 : x
  2. Step 2: Convert to fraction form
    9,879.68/14,813.01 = 5,922.02/x
  3. Step 3: Cross multiply
    9,879.68x = 14,813.01 × 5,922.02
  4. Step 4: Simplify right side
    9,879.68x = 87,722,941.48
  5. Step 5: Solve for x
    x = 87,722,941.48/9,879.68
  6. Step 6: Final answer
    x = 8,879.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.