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Finding the Fourth Proportional to 6,514.06, 9,774.33 and 5,199.16

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Solution

The fourth proportional to 6,514.06, 9,774.33 and 5,199.16 is: 7,801.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.06 : 9,774.33 = 5,199.16 : x
  2. Step 2: Convert to fraction form
    6,514.06/9,774.33 = 5,199.16/x
  3. Step 3: Cross multiply
    6,514.06x = 9,774.33 × 5,199.16
  4. Step 4: Simplify right side
    6,514.06x = 50,818,305.56
  5. Step 5: Solve for x
    x = 50,818,305.56/6,514.06
  6. Step 6: Final answer
    x = 7,801.33

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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.