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Finding the Fourth Proportional to 9,514.98, 13,126.21 and 6,329.84

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Solution

The fourth proportional to 9,514.98, 13,126.21 and 6,329.84 is: 8,732.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,514.98 : 13,126.21 = 6,329.84 : x
  2. Step 2: Convert to fraction form
    9,514.98/13,126.21 = 6,329.84/x
  3. Step 3: Cross multiply
    9,514.98x = 13,126.21 × 6,329.84
  4. Step 4: Simplify right side
    9,514.98x = 83,086,727.65
  5. Step 5: Solve for x
    x = 83,086,727.65/9,514.98
  6. Step 6: Final answer
    x = 8,732.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.