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Finding the Fourth Proportional to 6,834.96, 9,432.24 and 3,851.52

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Solution

The fourth proportional to 6,834.96, 9,432.24 and 3,851.52 is: 5,315.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,834.96 : 9,432.24 = 3,851.52 : x
  2. Step 2: Convert to fraction form
    6,834.96/9,432.24 = 3,851.52/x
  3. Step 3: Cross multiply
    6,834.96x = 9,432.24 × 3,851.52
  4. Step 4: Simplify right side
    6,834.96x = 36,328,461.00
  5. Step 5: Solve for x
    x = 36,328,461.00/6,834.96
  6. Step 6: Final answer
    x = 5,315.09

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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.