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Finding the Fourth Proportional to 6,347.25, 9,514.08 and 2,186.07

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Solution

The fourth proportional to 6,347.25, 9,514.08 and 2,186.07 is: 3,276.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,347.25 : 9,514.08 = 2,186.07 : x
  2. Step 2: Convert to fraction form
    6,347.25/9,514.08 = 2,186.07/x
  3. Step 3: Cross multiply
    6,347.25x = 9,514.08 × 2,186.07
  4. Step 4: Simplify right side
    6,347.25x = 20,798,444.87
  5. Step 5: Solve for x
    x = 20,798,444.87/6,347.25
  6. Step 6: Final answer
    x = 3,276.76

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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.