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Finding the Fourth Proportional to 9,725.50, 13,420.39 and 5,475.20

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Solution

The fourth proportional to 9,725.50, 13,420.39 and 5,475.20 is: 7,555.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,725.50 : 13,420.39 = 5,475.20 : x
  2. Step 2: Convert to fraction form
    9,725.50/13,420.39 = 5,475.20/x
  3. Step 3: Cross multiply
    9,725.50x = 13,420.39 × 5,475.20
  4. Step 4: Simplify right side
    9,725.50x = 73,479,319.33
  5. Step 5: Solve for x
    x = 73,479,319.33/9,725.50
  6. Step 6: Final answer
    x = 7,555.33

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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.