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Finding the Fourth Proportional to 6,364.30, 9,538.24 and 2,851.74

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Solution

The fourth proportional to 6,364.30, 9,538.24 and 2,851.74 is: 4,273.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,364.30 : 9,538.24 = 2,851.74 : x
  2. Step 2: Convert to fraction form
    6,364.30/9,538.24 = 2,851.74/x
  3. Step 3: Cross multiply
    6,364.30x = 9,538.24 × 2,851.74
  4. Step 4: Simplify right side
    6,364.30x = 27,200,580.54
  5. Step 5: Solve for x
    x = 27,200,580.54/6,364.30
  6. Step 6: Final answer
    x = 4,273.93

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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.