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Finding the Fourth Proportional to 9,967.95, 14,954.43 and 3,394.20

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Solution

The fourth proportional to 9,967.95, 14,954.43 and 3,394.20 is: 5,092.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,967.95 : 14,954.43 = 3,394.20 : x
  2. Step 2: Convert to fraction form
    9,967.95/14,954.43 = 3,394.20/x
  3. Step 3: Cross multiply
    9,967.95x = 14,954.43 × 3,394.20
  4. Step 4: Simplify right side
    9,967.95x = 50,758,326.31
  5. Step 5: Solve for x
    x = 50,758,326.31/9,967.95
  6. Step 6: Final answer
    x = 5,092.15

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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.