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Finding the Fourth Proportional to 6,627.08, 9,939.54 and 2,009

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Solution

The fourth proportional to 6,627.08, 9,939.54 and 2,009 is: 3,013.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,627.08 : 9,939.54 = 2,009 : x
  2. Step 2: Convert to fraction form
    6,627.08/9,939.54 = 2,009/x
  3. Step 3: Cross multiply
    6,627.08x = 9,939.54 × 2,009
  4. Step 4: Simplify right side
    6,627.08x = 19,968,535.86
  5. Step 5: Solve for x
    x = 19,968,535.86/6,627.08
  6. Step 6: Final answer
    x = 3,013.17

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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.