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Finding the Fourth Proportional to 7,004.31, 9,664.04 and 4,877.46

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Solution

The fourth proportional to 7,004.31, 9,664.04 and 4,877.46 is: 6,729.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,004.31 : 9,664.04 = 4,877.46 : x
  2. Step 2: Convert to fraction form
    7,004.31/9,664.04 = 4,877.46/x
  3. Step 3: Cross multiply
    7,004.31x = 9,664.04 × 4,877.46
  4. Step 4: Simplify right side
    7,004.31x = 47,135,944.15
  5. Step 5: Solve for x
    x = 47,135,944.15/7,004.31
  6. Step 6: Final answer
    x = 6,729.56

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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.