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Finding the Fourth Proportional to 9,222.68, 12,725.37 and 5,444.64

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Solution

The fourth proportional to 9,222.68, 12,725.37 and 5,444.64 is: 7,512.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,222.68 : 12,725.37 = 5,444.64 : x
  2. Step 2: Convert to fraction form
    9,222.68/12,725.37 = 5,444.64/x
  3. Step 3: Cross multiply
    9,222.68x = 12,725.37 × 5,444.64
  4. Step 4: Simplify right side
    9,222.68x = 69,285,058.52
  5. Step 5: Solve for x
    x = 69,285,058.52/9,222.68
  6. Step 6: Final answer
    x = 7,512.46

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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.