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Finding the Fourth Proportional to 6,514.56, 9,758.12 and 5,121.27

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Solution

The fourth proportional to 6,514.56, 9,758.12 and 5,121.27 is: 7,671.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.56 : 9,758.12 = 5,121.27 : x
  2. Step 2: Convert to fraction form
    6,514.56/9,758.12 = 5,121.27/x
  3. Step 3: Cross multiply
    6,514.56x = 9,758.12 × 5,121.27
  4. Step 4: Simplify right side
    6,514.56x = 49,973,941.61
  5. Step 5: Solve for x
    x = 49,973,941.61/6,514.56
  6. Step 6: Final answer
    x = 7,671.12

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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.