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Finding the Fourth Proportional to 9,981.39, 13,773.74 and 5,731.47

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Solution

The fourth proportional to 9,981.39, 13,773.74 and 5,731.47 is: 7,909.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,981.39 : 13,773.74 = 5,731.47 : x
  2. Step 2: Convert to fraction form
    9,981.39/13,773.74 = 5,731.47/x
  3. Step 3: Cross multiply
    9,981.39x = 13,773.74 × 5,731.47
  4. Step 4: Simplify right side
    9,981.39x = 78,943,748.94
  5. Step 5: Solve for x
    x = 78,943,748.94/9,981.39
  6. Step 6: Final answer
    x = 7,909.09

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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.