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Finding the Fourth Proportional to 9,567, 14,351.04 and 3,411

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Solution

The fourth proportional to 9,567, 14,351.04 and 3,411 is: 5,116.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,567 : 14,351.04 = 3,411 : x
  2. Step 2: Convert to fraction form
    9,567/14,351.04 = 3,411/x
  3. Step 3: Cross multiply
    9,567x = 14,351.04 × 3,411
  4. Step 4: Simplify right side
    9,567x = 48,951,397.44
  5. Step 5: Solve for x
    x = 48,951,397.44/9,567
  6. Step 6: Final answer
    x = 5,116.69

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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.