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Finding the Fourth Proportional to 6,895.98, 9,514.79 and 4,063.14

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Solution

The fourth proportional to 6,895.98, 9,514.79 and 4,063.14 is: 5,606.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,895.98 : 9,514.79 = 4,063.14 : x
  2. Step 2: Convert to fraction form
    6,895.98/9,514.79 = 4,063.14/x
  3. Step 3: Cross multiply
    6,895.98x = 9,514.79 × 4,063.14
  4. Step 4: Simplify right side
    6,895.98x = 38,659,923.84
  5. Step 5: Solve for x
    x = 38,659,923.84/6,895.98
  6. Step 6: Final answer
    x = 5,606.15

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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.