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Finding the Fourth Proportional to 9,981.80, 13,774.98 and 5,505.74

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Solution

The fourth proportional to 9,981.80, 13,774.98 and 5,505.74 is: 7,597.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,981.80 : 13,774.98 = 5,505.74 : x
  2. Step 2: Convert to fraction form
    9,981.80/13,774.98 = 5,505.74/x
  3. Step 3: Cross multiply
    9,981.80x = 13,774.98 × 5,505.74
  4. Step 4: Simplify right side
    9,981.80x = 75,841,458.39
  5. Step 5: Solve for x
    x = 75,841,458.39/9,981.80
  6. Step 6: Final answer
    x = 7,597.97

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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.