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Finding the Fourth Proportional to 9,819.38, 13,550.63 and 5,840.40

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Solution

The fourth proportional to 9,819.38, 13,550.63 and 5,840.40 is: 8,059.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,819.38 : 13,550.63 = 5,840.40 : x
  2. Step 2: Convert to fraction form
    9,819.38/13,550.63 = 5,840.40/x
  3. Step 3: Cross multiply
    9,819.38x = 13,550.63 × 5,840.40
  4. Step 4: Simplify right side
    9,819.38x = 79,141,099.45
  5. Step 5: Solve for x
    x = 79,141,099.45/9,819.38
  6. Step 6: Final answer
    x = 8,059.68

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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.