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Finding the Fourth Proportional to 10,201.96, 14,076.01 and 6,222.84

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Solution

The fourth proportional to 10,201.96, 14,076.01 and 6,222.84 is: 8,585.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,201.96 : 14,076.01 = 6,222.84 : x
  2. Step 2: Convert to fraction form
    10,201.96/14,076.01 = 6,222.84/x
  3. Step 3: Cross multiply
    10,201.96x = 14,076.01 × 6,222.84
  4. Step 4: Simplify right side
    10,201.96x = 87,592,758.07
  5. Step 5: Solve for x
    x = 87,592,758.07/10,201.96
  6. Step 6: Final answer
    x = 8,585.88

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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.