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Finding the Fourth Proportional to 9,849.91, 13,593.12 and 5,374.09

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Solution

The fourth proportional to 9,849.91, 13,593.12 and 5,374.09 is: 7,416.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,849.91 : 13,593.12 = 5,374.09 : x
  2. Step 2: Convert to fraction form
    9,849.91/13,593.12 = 5,374.09/x
  3. Step 3: Cross multiply
    9,849.91x = 13,593.12 × 5,374.09
  4. Step 4: Simplify right side
    9,849.91x = 73,050,650.26
  5. Step 5: Solve for x
    x = 73,050,650.26/9,849.91
  6. Step 6: Final answer
    x = 7,416.38

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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.