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Finding the Fourth Proportional to 8,837.98, 12,194.82 and 6,485.74

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Solution

The fourth proportional to 8,837.98, 12,194.82 and 6,485.74 is: 8,949.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,837.98 : 12,194.82 = 6,485.74 : x
  2. Step 2: Convert to fraction form
    8,837.98/12,194.82 = 6,485.74/x
  3. Step 3: Cross multiply
    8,837.98x = 12,194.82 × 6,485.74
  4. Step 4: Simplify right side
    8,837.98x = 79,092,401.38
  5. Step 5: Solve for x
    x = 79,092,401.38/8,837.98
  6. Step 6: Final answer
    x = 8,949.15

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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.