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Finding the Fourth Proportional to 6,514.12, 9,784.25 and 3,886.75

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Solution

The fourth proportional to 6,514.12, 9,784.25 and 3,886.75 is: 5,837.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.12 : 9,784.25 = 3,886.75 : x
  2. Step 2: Convert to fraction form
    6,514.12/9,784.25 = 3,886.75/x
  3. Step 3: Cross multiply
    6,514.12x = 9,784.25 × 3,886.75
  4. Step 4: Simplify right side
    6,514.12x = 38,028,921.46
  5. Step 5: Solve for x
    x = 38,028,921.46/6,514.12
  6. Step 6: Final answer
    x = 5,837.92

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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.