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Finding the Fourth Proportional to 7,004.64, 9,666.27 and 3,817.97

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Solution

The fourth proportional to 7,004.64, 9,666.27 and 3,817.97 is: 5,268.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,004.64 : 9,666.27 = 3,817.97 : x
  2. Step 2: Convert to fraction form
    7,004.64/9,666.27 = 3,817.97/x
  3. Step 3: Cross multiply
    7,004.64x = 9,666.27 × 3,817.97
  4. Step 4: Simplify right side
    7,004.64x = 36,905,480.54
  5. Step 5: Solve for x
    x = 36,905,480.54/7,004.64
  6. Step 6: Final answer
    x = 5,268.72

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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.