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Finding the Fourth Proportional to 9,310.41, 12,850.79 and 6,165.45

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Solution

The fourth proportional to 9,310.41, 12,850.79 and 6,165.45 is: 8,509.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,310.41 : 12,850.79 = 6,165.45 : x
  2. Step 2: Convert to fraction form
    9,310.41/12,850.79 = 6,165.45/x
  3. Step 3: Cross multiply
    9,310.41x = 12,850.79 × 6,165.45
  4. Step 4: Simplify right side
    9,310.41x = 79,230,872.38
  5. Step 5: Solve for x
    x = 79,230,872.38/9,310.41
  6. Step 6: Final answer
    x = 8,509.92

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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.