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Finding the Fourth Proportional to 9,969.35, 13,747.23 and 7,447.50

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Solution

The fourth proportional to 9,969.35, 13,747.23 and 7,447.50 is: 10,269.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,969.35 : 13,747.23 = 7,447.50 : x
  2. Step 2: Convert to fraction form
    9,969.35/13,747.23 = 7,447.50/x
  3. Step 3: Cross multiply
    9,969.35x = 13,747.23 × 7,447.50
  4. Step 4: Simplify right side
    9,969.35x = 102,382,495.43
  5. Step 5: Solve for x
    x = 102,382,495.43/9,969.35
  6. Step 6: Final answer
    x = 10,269.73

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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.