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Finding the Fourth Proportional to 9,999.14, 14,997.17 and 6,290.04

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Solution

The fourth proportional to 9,999.14, 14,997.17 and 6,290.04 is: 9,434.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,999.14 : 14,997.17 = 6,290.04 : x
  2. Step 2: Convert to fraction form
    9,999.14/14,997.17 = 6,290.04/x
  3. Step 3: Cross multiply
    9,999.14x = 14,997.17 × 6,290.04
  4. Step 4: Simplify right side
    9,999.14x = 94,332,767.74
  5. Step 5: Solve for x
    x = 94,332,767.74/9,999.14
  6. Step 6: Final answer
    x = 9,434.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.