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Finding the Fourth Proportional to 9,982.01, 13,774.53 and 5,505.79

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Solution

The fourth proportional to 9,982.01, 13,774.53 and 5,505.79 is: 7,597.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,982.01 : 13,774.53 = 5,505.79 : x
  2. Step 2: Convert to fraction form
    9,982.01/13,774.53 = 5,505.79/x
  3. Step 3: Cross multiply
    9,982.01x = 13,774.53 × 5,505.79
  4. Step 4: Simplify right side
    9,982.01x = 75,839,707.39
  5. Step 5: Solve for x
    x = 75,839,707.39/9,982.01
  6. Step 6: Final answer
    x = 7,597.64

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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.