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Finding the Fourth Proportional to 6,522.66, 9,784 and 3,238.06

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Solution

The fourth proportional to 6,522.66, 9,784 and 3,238.06 is: 4,857.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522.66 : 9,784 = 3,238.06 : x
  2. Step 2: Convert to fraction form
    6,522.66/9,784 = 3,238.06/x
  3. Step 3: Cross multiply
    6,522.66x = 9,784 × 3,238.06
  4. Step 4: Simplify right side
    6,522.66x = 31,681,179.04
  5. Step 5: Solve for x
    x = 31,681,179.04/6,522.66
  6. Step 6: Final answer
    x = 4,857.09

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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.