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Finding the Fourth Proportional to 9,202.32, 13,793.94 and 4,267.92

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Solution

The fourth proportional to 9,202.32, 13,793.94 and 4,267.92 is: 6,397.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.32 : 13,793.94 = 4,267.92 : x
  2. Step 2: Convert to fraction form
    9,202.32/13,793.94 = 4,267.92/x
  3. Step 3: Cross multiply
    9,202.32x = 13,793.94 × 4,267.92
  4. Step 4: Simplify right side
    9,202.32x = 58,871,432.40
  5. Step 5: Solve for x
    x = 58,871,432.40/9,202.32
  6. Step 6: Final answer
    x = 6,397.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.