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Finding the Fourth Proportional to 9,026.10, 13,540.98 and 3,186.84

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Solution

The fourth proportional to 9,026.10, 13,540.98 and 3,186.84 is: 4,780.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,026.10 : 13,540.98 = 3,186.84 : x
  2. Step 2: Convert to fraction form
    9,026.10/13,540.98 = 3,186.84/x
  3. Step 3: Cross multiply
    9,026.10x = 13,540.98 × 3,186.84
  4. Step 4: Simplify right side
    9,026.10x = 43,152,936.70
  5. Step 5: Solve for x
    x = 43,152,936.70/9,026.10
  6. Step 6: Final answer
    x = 4,780.91

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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.