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Finding the Fourth Proportional to 6,284.87, 9,427 and 2,125.04

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Solution

The fourth proportional to 6,284.87, 9,427 and 2,125.04 is: 3,187.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,284.87 : 9,427 = 2,125.04 : x
  2. Step 2: Convert to fraction form
    6,284.87/9,427 = 2,125.04/x
  3. Step 3: Cross multiply
    6,284.87x = 9,427 × 2,125.04
  4. Step 4: Simplify right side
    6,284.87x = 20,032,752.08
  5. Step 5: Solve for x
    x = 20,032,752.08/6,284.87
  6. Step 6: Final answer
    x = 3,187.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.