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Finding the Fourth Proportional to 8,954.50, 13,430.31 and 6,349.54

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Solution

The fourth proportional to 8,954.50, 13,430.31 and 6,349.54 is: 9,523.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,954.50 : 13,430.31 = 6,349.54 : x
  2. Step 2: Convert to fraction form
    8,954.50/13,430.31 = 6,349.54/x
  3. Step 3: Cross multiply
    8,954.50x = 13,430.31 × 6,349.54
  4. Step 4: Simplify right side
    8,954.50x = 85,276,290.56
  5. Step 5: Solve for x
    x = 85,276,290.56/8,954.50
  6. Step 6: Final answer
    x = 9,523.29

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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.