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Finding the Fourth Proportional to 6,835.64, 9,433.20 and 3,851.48

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Solution

The fourth proportional to 6,835.64, 9,433.20 and 3,851.48 is: 5,315.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,835.64 : 9,433.20 = 3,851.48 : x
  2. Step 2: Convert to fraction form
    6,835.64/9,433.20 = 3,851.48/x
  3. Step 3: Cross multiply
    6,835.64x = 9,433.20 × 3,851.48
  4. Step 4: Simplify right side
    6,835.64x = 36,331,781.14
  5. Step 5: Solve for x
    x = 36,331,781.14/6,835.64
  6. Step 6: Final answer
    x = 5,315.05

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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.