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Finding the Fourth Proportional to 23,539.56, 35,308.86 and 6,009

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Solution

The fourth proportional to 23,539.56, 35,308.86 and 6,009 is: 9,013.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,539.56 : 35,308.86 = 6,009 : x
  2. Step 2: Convert to fraction form
    23,539.56/35,308.86 = 6,009/x
  3. Step 3: Cross multiply
    23,539.56x = 35,308.86 × 6,009
  4. Step 4: Simplify right side
    23,539.56x = 212,170,939.74
  5. Step 5: Solve for x
    x = 212,170,939.74/23,539.56
  6. Step 6: Final answer
    x = 9,013.38

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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.