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Finding the Fourth Proportional to 9,629.74, 13,292.86 and 6,043.73

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Solution

The fourth proportional to 9,629.74, 13,292.86 and 6,043.73 is: 8,342.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,629.74 : 13,292.86 = 6,043.73 : x
  2. Step 2: Convert to fraction form
    9,629.74/13,292.86 = 6,043.73/x
  3. Step 3: Cross multiply
    9,629.74x = 13,292.86 × 6,043.73
  4. Step 4: Simplify right side
    9,629.74x = 80,338,461.30
  5. Step 5: Solve for x
    x = 80,338,461.30/9,629.74
  6. Step 6: Final answer
    x = 8,342.75

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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.