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Finding the Fourth Proportional to 9,667.82, 14,498.84 and 3,092.24

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Solution

The fourth proportional to 9,667.82, 14,498.84 and 3,092.24 is: 4,637.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,667.82 : 14,498.84 = 3,092.24 : x
  2. Step 2: Convert to fraction form
    9,667.82/14,498.84 = 3,092.24/x
  3. Step 3: Cross multiply
    9,667.82x = 14,498.84 × 3,092.24
  4. Step 4: Simplify right side
    9,667.82x = 44,833,820.51
  5. Step 5: Solve for x
    x = 44,833,820.51/9,667.82
  6. Step 6: Final answer
    x = 4,637.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.