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Finding the Fourth Proportional to 9,930.26, 13,706.83 and 6,393.46

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Solution

The fourth proportional to 9,930.26, 13,706.83 and 6,393.46 is: 8,824.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,930.26 : 13,706.83 = 6,393.46 : x
  2. Step 2: Convert to fraction form
    9,930.26/13,706.83 = 6,393.46/x
  3. Step 3: Cross multiply
    9,930.26x = 13,706.83 × 6,393.46
  4. Step 4: Simplify right side
    9,930.26x = 87,634,037.36
  5. Step 5: Solve for x
    x = 87,634,037.36/9,930.26
  6. Step 6: Final answer
    x = 8,824.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.