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Finding the Fourth Proportional to 9,913.09, 14,861.67 and 6,785.41

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Solution

The fourth proportional to 9,913.09, 14,861.67 and 6,785.41 is: 10,172.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,913.09 : 14,861.67 = 6,785.41 : x
  2. Step 2: Convert to fraction form
    9,913.09/14,861.67 = 6,785.41/x
  3. Step 3: Cross multiply
    9,913.09x = 14,861.67 × 6,785.41
  4. Step 4: Simplify right side
    9,913.09x = 100,842,524.23
  5. Step 5: Solve for x
    x = 100,842,524.23/9,913.09
  6. Step 6: Final answer
    x = 10,172.66

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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.