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Finding the Fourth Proportional to 10,143.43, 14,003.18 and 6,994.15

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Solution

The fourth proportional to 10,143.43, 14,003.18 and 6,994.15 is: 9,655.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,143.43 : 14,003.18 = 6,994.15 : x
  2. Step 2: Convert to fraction form
    10,143.43/14,003.18 = 6,994.15/x
  3. Step 3: Cross multiply
    10,143.43x = 14,003.18 × 6,994.15
  4. Step 4: Simplify right side
    10,143.43x = 97,940,297.65
  5. Step 5: Solve for x
    x = 97,940,297.65/10,143.43
  6. Step 6: Final answer
    x = 9,655.54

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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.