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Finding the Fourth Proportional to 9,029.10, 13,544.03 and 3,185.74

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Solution

The fourth proportional to 9,029.10, 13,544.03 and 3,185.74 is: 4,778.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,029.10 : 13,544.03 = 3,185.74 : x
  2. Step 2: Convert to fraction form
    9,029.10/13,544.03 = 3,185.74/x
  3. Step 3: Cross multiply
    9,029.10x = 13,544.03 × 3,185.74
  4. Step 4: Simplify right side
    9,029.10x = 43,147,758.13
  5. Step 5: Solve for x
    x = 43,147,758.13/9,029.10
  6. Step 6: Final answer
    x = 4,778.74

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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.