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Finding the Fourth Proportional to 9,845.76, 13,584.56 and 5,865.12

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Solution

The fourth proportional to 9,845.76, 13,584.56 and 5,865.12 is: 8,092.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,845.76 : 13,584.56 = 5,865.12 : x
  2. Step 2: Convert to fraction form
    9,845.76/13,584.56 = 5,865.12/x
  3. Step 3: Cross multiply
    9,845.76x = 13,584.56 × 5,865.12
  4. Step 4: Simplify right side
    9,845.76x = 79,675,074.55
  5. Step 5: Solve for x
    x = 79,675,074.55/9,845.76
  6. Step 6: Final answer
    x = 8,092.32

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Why These Related Problems?

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