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Finding the Fourth Proportional to 6,294.93, 9,438.14 and 3,523.52

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Solution

The fourth proportional to 6,294.93, 9,438.14 and 3,523.52 is: 5,282.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,294.93 : 9,438.14 = 3,523.52 : x
  2. Step 2: Convert to fraction form
    6,294.93/9,438.14 = 3,523.52/x
  3. Step 3: Cross multiply
    6,294.93x = 9,438.14 × 3,523.52
  4. Step 4: Simplify right side
    6,294.93x = 33,255,410.24
  5. Step 5: Solve for x
    x = 33,255,410.24/6,294.93
  6. Step 6: Final answer
    x = 5,282.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.