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Finding the Fourth Proportional to 9,581.82, 13,218.57 and 6,925.02

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Solution

The fourth proportional to 9,581.82, 13,218.57 and 6,925.02 is: 9,553.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,581.82 : 13,218.57 = 6,925.02 : x
  2. Step 2: Convert to fraction form
    9,581.82/13,218.57 = 6,925.02/x
  3. Step 3: Cross multiply
    9,581.82x = 13,218.57 × 6,925.02
  4. Step 4: Simplify right side
    9,581.82x = 91,538,861.62
  5. Step 5: Solve for x
    x = 91,538,861.62/9,581.82
  6. Step 6: Final answer
    x = 9,553.39

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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.