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Finding the Fourth Proportional to 9,351.84, 14,027.85 and 2,426.34

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Solution

The fourth proportional to 9,351.84, 14,027.85 and 2,426.34 is: 3,639.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,351.84 : 14,027.85 = 2,426.34 : x
  2. Step 2: Convert to fraction form
    9,351.84/14,027.85 = 2,426.34/x
  3. Step 3: Cross multiply
    9,351.84x = 14,027.85 × 2,426.34
  4. Step 4: Simplify right side
    9,351.84x = 34,036,333.57
  5. Step 5: Solve for x
    x = 34,036,333.57/9,351.84
  6. Step 6: Final answer
    x = 3,639.53

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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.