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Finding the Fourth Proportional to 9,026.56, 13,544.12 and 3,185.92

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Solution

The fourth proportional to 9,026.56, 13,544.12 and 3,185.92 is: 4,780.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,026.56 : 13,544.12 = 3,185.92 : x
  2. Step 2: Convert to fraction form
    9,026.56/13,544.12 = 3,185.92/x
  3. Step 3: Cross multiply
    9,026.56x = 13,544.12 × 3,185.92
  4. Step 4: Simplify right side
    9,026.56x = 43,150,482.79
  5. Step 5: Solve for x
    x = 43,150,482.79/9,026.56
  6. Step 6: Final answer
    x = 4,780.39

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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.