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Finding the Fourth Proportional to 9,230.18, 12,737.61 and 5,693.37

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Solution

The fourth proportional to 9,230.18, 12,737.61 and 5,693.37 is: 7,856.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,230.18 : 12,737.61 = 5,693.37 : x
  2. Step 2: Convert to fraction form
    9,230.18/12,737.61 = 5,693.37/x
  3. Step 3: Cross multiply
    9,230.18x = 12,737.61 × 5,693.37
  4. Step 4: Simplify right side
    9,230.18x = 72,519,926.65
  5. Step 5: Solve for x
    x = 72,519,926.65/9,230.18
  6. Step 6: Final answer
    x = 7,856.83

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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.