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Finding the Fourth Proportional to 9,470.31, 14,201.10 and 2,804.42

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Solution

The fourth proportional to 9,470.31, 14,201.10 and 2,804.42 is: 4,205.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,470.31 : 14,201.10 = 2,804.42 : x
  2. Step 2: Convert to fraction form
    9,470.31/14,201.10 = 2,804.42/x
  3. Step 3: Cross multiply
    9,470.31x = 14,201.10 × 2,804.42
  4. Step 4: Simplify right side
    9,470.31x = 39,825,884.36
  5. Step 5: Solve for x
    x = 39,825,884.36/9,470.31
  6. Step 6: Final answer
    x = 4,205.34

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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.