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Finding the Fourth Proportional to 9,824.63, 13,552.25 and 5,845.50

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Solution

The fourth proportional to 9,824.63, 13,552.25 and 5,845.50 is: 8,063.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,824.63 : 13,552.25 = 5,845.50 : x
  2. Step 2: Convert to fraction form
    9,824.63/13,552.25 = 5,845.50/x
  3. Step 3: Cross multiply
    9,824.63x = 13,552.25 × 5,845.50
  4. Step 4: Simplify right side
    9,824.63x = 79,219,648.15
  5. Step 5: Solve for x
    x = 79,219,648.15/9,824.63
  6. Step 6: Final answer
    x = 8,063.38

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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.