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Finding the Fourth Proportional to 9,226.93, 13,815.72 and 4,835.17

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Solution

The fourth proportional to 9,226.93, 13,815.72 and 4,835.17 is: 7,239.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,226.93 : 13,815.72 = 4,835.17 : x
  2. Step 2: Convert to fraction form
    9,226.93/13,815.72 = 4,835.17/x
  3. Step 3: Cross multiply
    9,226.93x = 13,815.72 × 4,835.17
  4. Step 4: Simplify right side
    9,226.93x = 66,801,354.87
  5. Step 5: Solve for x
    x = 66,801,354.87/9,226.93
  6. Step 6: Final answer
    x = 7,239.82

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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.