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Finding the Fourth Proportional to 9,770.92, 13,483.88 and 5,794

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Solution

The fourth proportional to 9,770.92, 13,483.88 and 5,794 is: 7,995.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.92 : 13,483.88 = 5,794 : x
  2. Step 2: Convert to fraction form
    9,770.92/13,483.88 = 5,794/x
  3. Step 3: Cross multiply
    9,770.92x = 13,483.88 × 5,794
  4. Step 4: Simplify right side
    9,770.92x = 78,125,600.72
  5. Step 5: Solve for x
    x = 78,125,600.72/9,770.92
  6. Step 6: Final answer
    x = 7,995.73

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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.