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Finding the Fourth Proportional to 6,844.41, 9,445.71 and 3,859.14

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Solution

The fourth proportional to 6,844.41, 9,445.71 and 3,859.14 is: 5,325.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,844.41 : 9,445.71 = 3,859.14 : x
  2. Step 2: Convert to fraction form
    6,844.41/9,445.71 = 3,859.14/x
  3. Step 3: Cross multiply
    6,844.41x = 9,445.71 × 3,859.14
  4. Step 4: Simplify right side
    6,844.41x = 36,452,317.29
  5. Step 5: Solve for x
    x = 36,452,317.29/6,844.41
  6. Step 6: Final answer
    x = 5,325.85

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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.