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Finding the Fourth Proportional to 6,857.60, 9,454.74 and 4,495.64

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Solution

The fourth proportional to 6,857.60, 9,454.74 and 4,495.64 is: 6,198.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.60 : 9,454.74 = 4,495.64 : x
  2. Step 2: Convert to fraction form
    6,857.60/9,454.74 = 4,495.64/x
  3. Step 3: Cross multiply
    6,857.60x = 9,454.74 × 4,495.64
  4. Step 4: Simplify right side
    6,857.60x = 42,505,107.33
  5. Step 5: Solve for x
    x = 42,505,107.33/6,857.60
  6. Step 6: Final answer
    x = 6,198.25

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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.