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Finding the Fourth Proportional to 6,538.93, 9,028.07 and 5,023.79

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Solution

The fourth proportional to 6,538.93, 9,028.07 and 5,023.79 is: 6,936.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.93 : 9,028.07 = 5,023.79 : x
  2. Step 2: Convert to fraction form
    6,538.93/9,028.07 = 5,023.79/x
  3. Step 3: Cross multiply
    6,538.93x = 9,028.07 × 5,023.79
  4. Step 4: Simplify right side
    6,538.93x = 45,355,144.08
  5. Step 5: Solve for x
    x = 45,355,144.08/6,538.93
  6. Step 6: Final answer
    x = 6,936.17

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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.