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Finding the Fourth Proportional to 9,230.80, 12,738.44 and 5,038.96

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Solution

The fourth proportional to 9,230.80, 12,738.44 and 5,038.96 is: 6,953.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,230.80 : 12,738.44 = 5,038.96 : x
  2. Step 2: Convert to fraction form
    9,230.80/12,738.44 = 5,038.96/x
  3. Step 3: Cross multiply
    9,230.80x = 12,738.44 × 5,038.96
  4. Step 4: Simplify right side
    9,230.80x = 64,188,489.62
  5. Step 5: Solve for x
    x = 64,188,489.62/9,230.80
  6. Step 6: Final answer
    x = 6,953.73

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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.