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Finding the Fourth Proportional to 9,845.38, 13,593.09 and 7,188.13

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Solution

The fourth proportional to 9,845.38, 13,593.09 and 7,188.13 is: 9,924.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,845.38 : 13,593.09 = 7,188.13 : x
  2. Step 2: Convert to fraction form
    9,845.38/13,593.09 = 7,188.13/x
  3. Step 3: Cross multiply
    9,845.38x = 13,593.09 × 7,188.13
  4. Step 4: Simplify right side
    9,845.38x = 97,708,898.02
  5. Step 5: Solve for x
    x = 97,708,898.02/9,845.38
  6. Step 6: Final answer
    x = 9,924.34

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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.