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Finding the Fourth Proportional to 9,981.40, 13,773.86 and 5,729.50

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Solution

The fourth proportional to 9,981.40, 13,773.86 and 5,729.50 is: 7,906.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,981.40 : 13,773.86 = 5,729.50 : x
  2. Step 2: Convert to fraction form
    9,981.40/13,773.86 = 5,729.50/x
  3. Step 3: Cross multiply
    9,981.40x = 13,773.86 × 5,729.50
  4. Step 4: Simplify right side
    9,981.40x = 78,917,302.22
  5. Step 5: Solve for x
    x = 78,917,302.22/9,981.40
  6. Step 6: Final answer
    x = 7,906.44

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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.