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Finding the Fourth Proportional to 6,895.62, 9,514.32 and 4,063.15

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Solution

The fourth proportional to 6,895.62, 9,514.32 and 4,063.15 is: 5,606.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,895.62 : 9,514.32 = 4,063.15 : x
  2. Step 2: Convert to fraction form
    6,895.62/9,514.32 = 4,063.15/x
  3. Step 3: Cross multiply
    6,895.62x = 9,514.32 × 4,063.15
  4. Step 4: Simplify right side
    6,895.62x = 38,658,109.31
  5. Step 5: Solve for x
    x = 38,658,109.31/6,895.62
  6. Step 6: Final answer
    x = 5,606.18

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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.