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Finding the Fourth Proportional to 7,009.26, 9,672.86 and 3,865.50

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Solution

The fourth proportional to 7,009.26, 9,672.86 and 3,865.50 is: 5,334.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,009.26 : 9,672.86 = 3,865.50 : x
  2. Step 2: Convert to fraction form
    7,009.26/9,672.86 = 3,865.50/x
  3. Step 3: Cross multiply
    7,009.26x = 9,672.86 × 3,865.50
  4. Step 4: Simplify right side
    7,009.26x = 37,390,440.33
  5. Step 5: Solve for x
    x = 37,390,440.33/7,009.26
  6. Step 6: Final answer
    x = 5,334.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.