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Finding the Fourth Proportional to 9,045, 12,481.08 and 5,268.96

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Solution

The fourth proportional to 9,045, 12,481.08 and 5,268.96 is: 7,270.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,045 : 12,481.08 = 5,268.96 : x
  2. Step 2: Convert to fraction form
    9,045/12,481.08 = 5,268.96/x
  3. Step 3: Cross multiply
    9,045x = 12,481.08 × 5,268.96
  4. Step 4: Simplify right side
    9,045x = 65,762,311.28
  5. Step 5: Solve for x
    x = 65,762,311.28/9,045
  6. Step 6: Final answer
    x = 7,270.57

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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.