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Finding the Fourth Proportional to 9,889.72, 14,832.98 and 3,652.67

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Solution

The fourth proportional to 9,889.72, 14,832.98 and 3,652.67 is: 5,478.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,889.72 : 14,832.98 = 3,652.67 : x
  2. Step 2: Convert to fraction form
    9,889.72/14,832.98 = 3,652.67/x
  3. Step 3: Cross multiply
    9,889.72x = 14,832.98 × 3,652.67
  4. Step 4: Simplify right side
    9,889.72x = 54,179,982.13
  5. Step 5: Solve for x
    x = 54,179,982.13/9,889.72
  6. Step 6: Final answer
    x = 5,478.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.