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Finding the Fourth Proportional to 12,398.15, 17,109.43 and 6,809.15

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Solution

The fourth proportional to 12,398.15, 17,109.43 and 6,809.15 is: 9,396.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,398.15 : 17,109.43 = 6,809.15 : x
  2. Step 2: Convert to fraction form
    12,398.15/17,109.43 = 6,809.15/x
  3. Step 3: Cross multiply
    12,398.15x = 17,109.43 × 6,809.15
  4. Step 4: Simplify right side
    12,398.15x = 116,500,641.24
  5. Step 5: Solve for x
    x = 116,500,641.24/12,398.15
  6. Step 6: Final answer
    x = 9,396.61

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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.