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Finding the Fourth Proportional to 9,932.43, 14,897.03 and 3,005.31

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Solution

The fourth proportional to 9,932.43, 14,897.03 and 3,005.31 is: 4,507.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,932.43 : 14,897.03 = 3,005.31 : x
  2. Step 2: Convert to fraction form
    9,932.43/14,897.03 = 3,005.31/x
  3. Step 3: Cross multiply
    9,932.43x = 14,897.03 × 3,005.31
  4. Step 4: Simplify right side
    9,932.43x = 44,770,193.23
  5. Step 5: Solve for x
    x = 44,770,193.23/9,932.43
  6. Step 6: Final answer
    x = 4,507.48

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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.