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Finding the Fourth Proportional to 9,865.52, 13,586.77 and 9,834.78

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Solution

The fourth proportional to 9,865.52, 13,586.77 and 9,834.78 is: 13,544.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,865.52 : 13,586.77 = 9,834.78 : x
  2. Step 2: Convert to fraction form
    9,865.52/13,586.77 = 9,834.78/x
  3. Step 3: Cross multiply
    9,865.52x = 13,586.77 × 9,834.78
  4. Step 4: Simplify right side
    9,865.52x = 133,622,893.86
  5. Step 5: Solve for x
    x = 133,622,893.86/9,865.52
  6. Step 6: Final answer
    x = 13,544.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.