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Finding the Fourth Proportional to 9,850.65, 14,776.17 and 5,495.82

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Solution

The fourth proportional to 9,850.65, 14,776.17 and 5,495.82 is: 8,243.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,850.65 : 14,776.17 = 5,495.82 : x
  2. Step 2: Convert to fraction form
    9,850.65/14,776.17 = 5,495.82/x
  3. Step 3: Cross multiply
    9,850.65x = 14,776.17 × 5,495.82
  4. Step 4: Simplify right side
    9,850.65x = 81,207,170.61
  5. Step 5: Solve for x
    x = 81,207,170.61/9,850.65
  6. Step 6: Final answer
    x = 8,243.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.