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Finding the Fourth Proportional to 9,827.01, 14,738.07 and 6,127.34

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Solution

The fourth proportional to 9,827.01, 14,738.07 and 6,127.34 is: 9,189.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,827.01 : 14,738.07 = 6,127.34 : x
  2. Step 2: Convert to fraction form
    9,827.01/14,738.07 = 6,127.34/x
  3. Step 3: Cross multiply
    9,827.01x = 14,738.07 × 6,127.34
  4. Step 4: Simplify right side
    9,827.01x = 90,305,092.14
  5. Step 5: Solve for x
    x = 90,305,092.14/9,827.01
  6. Step 6: Final answer
    x = 9,189.48

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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.