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Finding the Fourth Proportional to 9,468, 14,201.42 and 2,893.66

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Solution

The fourth proportional to 9,468, 14,201.42 and 2,893.66 is: 4,340.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,468 : 14,201.42 = 2,893.66 : x
  2. Step 2: Convert to fraction form
    9,468/14,201.42 = 2,893.66/x
  3. Step 3: Cross multiply
    9,468x = 14,201.42 × 2,893.66
  4. Step 4: Simplify right side
    9,468x = 41,094,031.03
  5. Step 5: Solve for x
    x = 41,094,031.03/9,468
  6. Step 6: Final answer
    x = 4,340.31

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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.