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Finding the Fourth Proportional to 9,282.93, 13,924.73 and 2,709.17

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Solution

The fourth proportional to 9,282.93, 13,924.73 and 2,709.17 is: 4,063.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,282.93 : 13,924.73 = 2,709.17 : x
  2. Step 2: Convert to fraction form
    9,282.93/13,924.73 = 2,709.17/x
  3. Step 3: Cross multiply
    9,282.93x = 13,924.73 × 2,709.17
  4. Step 4: Simplify right side
    9,282.93x = 37,724,460.77
  5. Step 5: Solve for x
    x = 37,724,460.77/9,282.93
  6. Step 6: Final answer
    x = 4,063.85

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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.