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Finding the Fourth Proportional to 9,761.09, 14,643.14 and 3,185.73

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Solution

The fourth proportional to 9,761.09, 14,643.14 and 3,185.73 is: 4,779.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,761.09 : 14,643.14 = 3,185.73 : x
  2. Step 2: Convert to fraction form
    9,761.09/14,643.14 = 3,185.73/x
  3. Step 3: Cross multiply
    9,761.09x = 14,643.14 × 3,185.73
  4. Step 4: Simplify right side
    9,761.09x = 46,649,074.46
  5. Step 5: Solve for x
    x = 46,649,074.46/9,761.09
  6. Step 6: Final answer
    x = 4,779.09

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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.