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Finding the Fourth Proportional to 9,948.98, 13,729.09 and 5,969.30

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Solution

The fourth proportional to 9,948.98, 13,729.09 and 5,969.30 is: 8,237.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,948.98 : 13,729.09 = 5,969.30 : x
  2. Step 2: Convert to fraction form
    9,948.98/13,729.09 = 5,969.30/x
  3. Step 3: Cross multiply
    9,948.98x = 13,729.09 × 5,969.30
  4. Step 4: Simplify right side
    9,948.98x = 81,953,056.94
  5. Step 5: Solve for x
    x = 81,953,056.94/9,948.98
  6. Step 6: Final answer
    x = 8,237.33

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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.