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Finding the Fourth Proportional to 9,759.66, 14,639.46 and 3,185.82

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Solution

The fourth proportional to 9,759.66, 14,639.46 and 3,185.82 is: 4,778.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,759.66 : 14,639.46 = 3,185.82 : x
  2. Step 2: Convert to fraction form
    9,759.66/14,639.46 = 3,185.82/x
  3. Step 3: Cross multiply
    9,759.66x = 14,639.46 × 3,185.82
  4. Step 4: Simplify right side
    9,759.66x = 46,638,684.46
  5. Step 5: Solve for x
    x = 46,638,684.46/9,759.66
  6. Step 6: Final answer
    x = 4,778.72

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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.