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Finding the Fourth Proportional to 9,981.54, 13,774.05 and 5,729.63

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Solution

The fourth proportional to 9,981.54, 13,774.05 and 5,729.63 is: 7,906.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,981.54 : 13,774.05 = 5,729.63 : x
  2. Step 2: Convert to fraction form
    9,981.54/13,774.05 = 5,729.63/x
  3. Step 3: Cross multiply
    9,981.54x = 13,774.05 × 5,729.63
  4. Step 4: Simplify right side
    9,981.54x = 78,920,141.23
  5. Step 5: Solve for x
    x = 78,920,141.23/9,981.54
  6. Step 6: Final answer
    x = 7,906.61

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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.