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Finding the Fourth Proportional to 6,303.25, 9,454.93 and 2,144.21

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Solution

The fourth proportional to 6,303.25, 9,454.93 and 2,144.21 is: 3,216.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,303.25 : 9,454.93 = 2,144.21 : x
  2. Step 2: Convert to fraction form
    6,303.25/9,454.93 = 2,144.21/x
  3. Step 3: Cross multiply
    6,303.25x = 9,454.93 × 2,144.21
  4. Step 4: Simplify right side
    6,303.25x = 20,273,302.82
  5. Step 5: Solve for x
    x = 20,273,302.82/6,303.25
  6. Step 6: Final answer
    x = 3,216.32

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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.