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Finding the Fourth Proportional to 10,169.65, 14,035.29 and 6,193.09

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Solution

The fourth proportional to 10,169.65, 14,035.29 and 6,193.09 is: 8,547.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,169.65 : 14,035.29 = 6,193.09 : x
  2. Step 2: Convert to fraction form
    10,169.65/14,035.29 = 6,193.09/x
  3. Step 3: Cross multiply
    10,169.65x = 14,035.29 × 6,193.09
  4. Step 4: Simplify right side
    10,169.65x = 86,921,743.97
  5. Step 5: Solve for x
    x = 86,921,743.97/10,169.65
  6. Step 6: Final answer
    x = 8,547.18

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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.