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Finding the Fourth Proportional to 9,754.90, 14,629.55 and 3,181.66

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Solution

The fourth proportional to 9,754.90, 14,629.55 and 3,181.66 is: 4,771.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754.90 : 14,629.55 = 3,181.66 : x
  2. Step 2: Convert to fraction form
    9,754.90/14,629.55 = 3,181.66/x
  3. Step 3: Cross multiply
    9,754.90x = 14,629.55 × 3,181.66
  4. Step 4: Simplify right side
    9,754.90x = 46,546,254.05
  5. Step 5: Solve for x
    x = 46,546,254.05/9,754.90
  6. Step 6: Final answer
    x = 4,771.58

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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.