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Finding the Fourth Proportional to 9,151, 12,629.46 and 6,362.44

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Solution

The fourth proportional to 9,151, 12,629.46 and 6,362.44 is: 8,780.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,151 : 12,629.46 = 6,362.44 : x
  2. Step 2: Convert to fraction form
    9,151/12,629.46 = 6,362.44/x
  3. Step 3: Cross multiply
    9,151x = 12,629.46 × 6,362.44
  4. Step 4: Simplify right side
    9,151x = 80,354,181.48
  5. Step 5: Solve for x
    x = 80,354,181.48/9,151
  6. Step 6: Final answer
    x = 8,780.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.