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Finding the Fourth Proportional to 9,636.52, 13,294.38 and 6,493.72

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Solution

The fourth proportional to 9,636.52, 13,294.38 and 6,493.72 is: 8,958.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,636.52 : 13,294.38 = 6,493.72 : x
  2. Step 2: Convert to fraction form
    9,636.52/13,294.38 = 6,493.72/x
  3. Step 3: Cross multiply
    9,636.52x = 13,294.38 × 6,493.72
  4. Step 4: Simplify right side
    9,636.52x = 86,329,981.29
  5. Step 5: Solve for x
    x = 86,329,981.29/9,636.52
  6. Step 6: Final answer
    x = 8,958.63

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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.