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Finding the Fourth Proportional to 9,793.56, 14,661.18 and 5,886.12

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Solution

The fourth proportional to 9,793.56, 14,661.18 and 5,886.12 is: 8,811.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793.56 : 14,661.18 = 5,886.12 : x
  2. Step 2: Convert to fraction form
    9,793.56/14,661.18 = 5,886.12/x
  3. Step 3: Cross multiply
    9,793.56x = 14,661.18 × 5,886.12
  4. Step 4: Simplify right side
    9,793.56x = 86,297,464.82
  5. Step 5: Solve for x
    x = 86,297,464.82/9,793.56
  6. Step 6: Final answer
    x = 8,811.65

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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.