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Finding the Fourth Proportional to 9,657.50, 13,327.35 and 5,241.50

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Solution

The fourth proportional to 9,657.50, 13,327.35 and 5,241.50 is: 7,233.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.50 : 13,327.35 = 5,241.50 : x
  2. Step 2: Convert to fraction form
    9,657.50/13,327.35 = 5,241.50/x
  3. Step 3: Cross multiply
    9,657.50x = 13,327.35 × 5,241.50
  4. Step 4: Simplify right side
    9,657.50x = 69,855,305.03
  5. Step 5: Solve for x
    x = 69,855,305.03/9,657.50
  6. Step 6: Final answer
    x = 7,233.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.