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Finding the Fourth Proportional to 9,564.50, 14,347.29 and 3,408.50

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Solution

The fourth proportional to 9,564.50, 14,347.29 and 3,408.50 is: 5,112.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.50 : 14,347.29 = 3,408.50 : x
  2. Step 2: Convert to fraction form
    9,564.50/14,347.29 = 3,408.50/x
  3. Step 3: Cross multiply
    9,564.50x = 14,347.29 × 3,408.50
  4. Step 4: Simplify right side
    9,564.50x = 48,902,737.97
  5. Step 5: Solve for x
    x = 48,902,737.97/9,564.50
  6. Step 6: Final answer
    x = 5,112.94

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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.