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Finding the Fourth Proportional to 9,647.01, 14,476.97 and 3,407.07

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Solution

The fourth proportional to 9,647.01, 14,476.97 and 3,407.07 is: 5,112.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,647.01 : 14,476.97 = 3,407.07 : x
  2. Step 2: Convert to fraction form
    9,647.01/14,476.97 = 3,407.07/x
  3. Step 3: Cross multiply
    9,647.01x = 14,476.97 × 3,407.07
  4. Step 4: Simplify right side
    9,647.01x = 49,324,033.14
  5. Step 5: Solve for x
    x = 49,324,033.14/9,647.01
  6. Step 6: Final answer
    x = 5,112.88

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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.