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Finding the Fourth Proportional to 9,150, 13,714.39 and 4,209.27

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Solution

The fourth proportional to 9,150, 13,714.39 and 4,209.27 is: 6,309.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,150 : 13,714.39 = 4,209.27 : x
  2. Step 2: Convert to fraction form
    9,150/13,714.39 = 4,209.27/x
  3. Step 3: Cross multiply
    9,150x = 13,714.39 × 4,209.27
  4. Step 4: Simplify right side
    9,150x = 57,727,570.40
  5. Step 5: Solve for x
    x = 57,727,570.40/9,150
  6. Step 6: Final answer
    x = 6,309.02

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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.