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Finding the Fourth Proportional to 6,209.64, 9,317.46 and 2,746.44

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Solution

The fourth proportional to 6,209.64, 9,317.46 and 2,746.44 is: 4,120.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,209.64 : 9,317.46 = 2,746.44 : x
  2. Step 2: Convert to fraction form
    6,209.64/9,317.46 = 2,746.44/x
  3. Step 3: Cross multiply
    6,209.64x = 9,317.46 × 2,746.44
  4. Step 4: Simplify right side
    6,209.64x = 25,589,844.84
  5. Step 5: Solve for x
    x = 25,589,844.84/6,209.64
  6. Step 6: Final answer
    x = 4,120.99

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Why These Related Problems?

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