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Finding the Fourth Proportional to 6,538.47, 9,019.87 and 3,884.01

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Solution

The fourth proportional to 6,538.47, 9,019.87 and 3,884.01 is: 5,358.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.47 : 9,019.87 = 3,884.01 : x
  2. Step 2: Convert to fraction form
    6,538.47/9,019.87 = 3,884.01/x
  3. Step 3: Cross multiply
    6,538.47x = 9,019.87 × 3,884.01
  4. Step 4: Simplify right side
    6,538.47x = 35,033,265.28
  5. Step 5: Solve for x
    x = 35,033,265.28/6,538.47
  6. Step 6: Final answer
    x = 5,358.02

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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.