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Finding the Fourth Proportional to 6,835.93, 9,432.99 and 3,851.23

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Solution

The fourth proportional to 6,835.93, 9,432.99 and 3,851.23 is: 5,314.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,835.93 : 9,432.99 = 3,851.23 : x
  2. Step 2: Convert to fraction form
    6,835.93/9,432.99 = 3,851.23/x
  3. Step 3: Cross multiply
    6,835.93x = 9,432.99 × 3,851.23
  4. Step 4: Simplify right side
    6,835.93x = 36,328,614.08
  5. Step 5: Solve for x
    x = 36,328,614.08/6,835.93
  6. Step 6: Final answer
    x = 5,314.36

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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.