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Finding the Fourth Proportional to 9,097.31, 13,624.07 and 6,166.73

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Solution

The fourth proportional to 9,097.31, 13,624.07 and 6,166.73 is: 9,235.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,097.31 : 13,624.07 = 6,166.73 : x
  2. Step 2: Convert to fraction form
    9,097.31/13,624.07 = 6,166.73/x
  3. Step 3: Cross multiply
    9,097.31x = 13,624.07 × 6,166.73
  4. Step 4: Simplify right side
    9,097.31x = 84,015,893.07
  5. Step 5: Solve for x
    x = 84,015,893.07/9,097.31
  6. Step 6: Final answer
    x = 9,235.25

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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.