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Finding the Fourth Proportional to 7,010.28, 9,673.29 and 3,865.86

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Solution

The fourth proportional to 7,010.28, 9,673.29 and 3,865.86 is: 5,334.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,010.28 : 9,673.29 = 3,865.86 : x
  2. Step 2: Convert to fraction form
    7,010.28/9,673.29 = 3,865.86/x
  3. Step 3: Cross multiply
    7,010.28x = 9,673.29 × 3,865.86
  4. Step 4: Simplify right side
    7,010.28x = 37,395,584.88
  5. Step 5: Solve for x
    x = 37,395,584.88/7,010.28
  6. Step 6: Final answer
    x = 5,334.39

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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.