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Finding the Fourth Proportional to 9,471.34, 14,194.74 and 4,531.30

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Solution

The fourth proportional to 9,471.34, 14,194.74 and 4,531.30 is: 6,791.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,471.34 : 14,194.74 = 4,531.30 : x
  2. Step 2: Convert to fraction form
    9,471.34/14,194.74 = 4,531.30/x
  3. Step 3: Cross multiply
    9,471.34x = 14,194.74 × 4,531.30
  4. Step 4: Simplify right side
    9,471.34x = 64,320,625.36
  5. Step 5: Solve for x
    x = 64,320,625.36/9,471.34
  6. Step 6: Final answer
    x = 6,791.08

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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.