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Finding the Fourth Proportional to 9,620.68, 13,280.34 and 7,261.96

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Solution

The fourth proportional to 9,620.68, 13,280.34 and 7,261.96 is: 10,024.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,620.68 : 13,280.34 = 7,261.96 : x
  2. Step 2: Convert to fraction form
    9,620.68/13,280.34 = 7,261.96/x
  3. Step 3: Cross multiply
    9,620.68x = 13,280.34 × 7,261.96
  4. Step 4: Simplify right side
    9,620.68x = 96,441,297.87
  5. Step 5: Solve for x
    x = 96,441,297.87/9,620.68
  6. Step 6: Final answer
    x = 10,024.37

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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.