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Finding the Fourth Proportional to 9,948.33, 13,729.10 and 5,967.99

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Solution

The fourth proportional to 9,948.33, 13,729.10 and 5,967.99 is: 8,236.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,948.33 : 13,729.10 = 5,967.99 : x
  2. Step 2: Convert to fraction form
    9,948.33/13,729.10 = 5,967.99/x
  3. Step 3: Cross multiply
    9,948.33x = 13,729.10 × 5,967.99
  4. Step 4: Simplify right side
    9,948.33x = 81,935,101.67
  5. Step 5: Solve for x
    x = 81,935,101.67/9,948.33
  6. Step 6: Final answer
    x = 8,236.07

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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.