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Finding the Fourth Proportional to 9,837.84, 14,759.30 and 3,264.09

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Solution

The fourth proportional to 9,837.84, 14,759.30 and 3,264.09 is: 4,896.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,837.84 : 14,759.30 = 3,264.09 : x
  2. Step 2: Convert to fraction form
    9,837.84/14,759.30 = 3,264.09/x
  3. Step 3: Cross multiply
    9,837.84x = 14,759.30 × 3,264.09
  4. Step 4: Simplify right side
    9,837.84x = 48,175,683.54
  5. Step 5: Solve for x
    x = 48,175,683.54/9,837.84
  6. Step 6: Final answer
    x = 4,896.98

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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.