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Finding the Fourth Proportional to 9,502.56, 14,243.22 and 3,954.06

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Solution

The fourth proportional to 9,502.56, 14,243.22 and 3,954.06 is: 5,926.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.56 : 14,243.22 = 3,954.06 : x
  2. Step 2: Convert to fraction form
    9,502.56/14,243.22 = 3,954.06/x
  3. Step 3: Cross multiply
    9,502.56x = 14,243.22 × 3,954.06
  4. Step 4: Simplify right side
    9,502.56x = 56,318,546.47
  5. Step 5: Solve for x
    x = 56,318,546.47/9,502.56
  6. Step 6: Final answer
    x = 5,926.67

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Why These Related Problems?

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