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Finding the Fourth Proportional to 9,624.48, 14,427 and 3,778.80

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Solution

The fourth proportional to 9,624.48, 14,427 and 3,778.80 is: 5,664.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,624.48 : 14,427 = 3,778.80 : x
  2. Step 2: Convert to fraction form
    9,624.48/14,427 = 3,778.80/x
  3. Step 3: Cross multiply
    9,624.48x = 14,427 × 3,778.80
  4. Step 4: Simplify right side
    9,624.48x = 54,516,747.60
  5. Step 5: Solve for x
    x = 54,516,747.60/9,624.48
  6. Step 6: Final answer
    x = 5,664.38

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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.