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Finding the Fourth Proportional to 6,844.58, 9,446.49 and 4,157.16

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Solution

The fourth proportional to 6,844.58, 9,446.49 and 4,157.16 is: 5,737.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,844.58 : 9,446.49 = 4,157.16 : x
  2. Step 2: Convert to fraction form
    6,844.58/9,446.49 = 4,157.16/x
  3. Step 3: Cross multiply
    6,844.58x = 9,446.49 × 4,157.16
  4. Step 4: Simplify right side
    6,844.58x = 39,270,534.94
  5. Step 5: Solve for x
    x = 39,270,534.94/6,844.58
  6. Step 6: Final answer
    x = 5,737.47

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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.