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Finding the Fourth Proportional to 6,347.60, 9,523.68 and 2,837.31

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Solution

The fourth proportional to 6,347.60, 9,523.68 and 2,837.31 is: 4,256.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,347.60 : 9,523.68 = 2,837.31 : x
  2. Step 2: Convert to fraction form
    6,347.60/9,523.68 = 2,837.31/x
  3. Step 3: Cross multiply
    6,347.60x = 9,523.68 × 2,837.31
  4. Step 4: Simplify right side
    6,347.60x = 27,021,618.31
  5. Step 5: Solve for x
    x = 27,021,618.31/6,347.60
  6. Step 6: Final answer
    x = 4,256.99

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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.