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Finding the Fourth Proportional to 9,226.34, 13,844.15 and 3,690.50

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Solution

The fourth proportional to 9,226.34, 13,844.15 and 3,690.50 is: 5,537.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,226.34 : 13,844.15 = 3,690.50 : x
  2. Step 2: Convert to fraction form
    9,226.34/13,844.15 = 3,690.50/x
  3. Step 3: Cross multiply
    9,226.34x = 13,844.15 × 3,690.50
  4. Step 4: Simplify right side
    9,226.34x = 51,091,835.58
  5. Step 5: Solve for x
    x = 51,091,835.58/9,226.34
  6. Step 6: Final answer
    x = 5,537.61

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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.