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Finding the Fourth Proportional to 9,227.59, 13,846.85 and 8,643.81

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Solution

The fourth proportional to 9,227.59, 13,846.85 and 8,643.81 is: 12,970.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,227.59 : 13,846.85 = 8,643.81 : x
  2. Step 2: Convert to fraction form
    9,227.59/13,846.85 = 8,643.81/x
  3. Step 3: Cross multiply
    9,227.59x = 13,846.85 × 8,643.81
  4. Step 4: Simplify right side
    9,227.59x = 119,689,581.62
  5. Step 5: Solve for x
    x = 119,689,581.62/9,227.59
  6. Step 6: Final answer
    x = 12,970.84

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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.