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Finding the Fourth Proportional to 9,487.36, 14,224.64 and 3,328

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Solution

The fourth proportional to 9,487.36, 14,224.64 and 3,328 is: 4,989.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,487.36 : 14,224.64 = 3,328 : x
  2. Step 2: Convert to fraction form
    9,487.36/14,224.64 = 3,328/x
  3. Step 3: Cross multiply
    9,487.36x = 14,224.64 × 3,328
  4. Step 4: Simplify right side
    9,487.36x = 47,339,601.92
  5. Step 5: Solve for x
    x = 47,339,601.92/9,487.36
  6. Step 6: Final answer
    x = 4,989.75

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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.