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Finding the Fourth Proportional to 9,935.87, 14,889.93 and 7,467.80

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Solution

The fourth proportional to 9,935.87, 14,889.93 and 7,467.80 is: 11,191.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,935.87 : 14,889.93 = 7,467.80 : x
  2. Step 2: Convert to fraction form
    9,935.87/14,889.93 = 7,467.80/x
  3. Step 3: Cross multiply
    9,935.87x = 14,889.93 × 7,467.80
  4. Step 4: Simplify right side
    9,935.87x = 111,194,944.80
  5. Step 5: Solve for x
    x = 111,194,944.80/9,935.87
  6. Step 6: Final answer
    x = 11,191.27

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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.