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Finding the Fourth Proportional to 9,996.28, 14,974.98 and 6,523

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Solution

The fourth proportional to 9,996.28, 14,974.98 and 6,523 is: 9,771.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,996.28 : 14,974.98 = 6,523 : x
  2. Step 2: Convert to fraction form
    9,996.28/14,974.98 = 6,523/x
  3. Step 3: Cross multiply
    9,996.28x = 14,974.98 × 6,523
  4. Step 4: Simplify right side
    9,996.28x = 97,681,794.54
  5. Step 5: Solve for x
    x = 97,681,794.54/9,996.28
  6. Step 6: Final answer
    x = 9,771.81

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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.