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Finding the Fourth Proportional to 6,537.06, 9,804.66 and 2,839.26

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Solution

The fourth proportional to 6,537.06, 9,804.66 and 2,839.26 is: 4,258.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,537.06 : 9,804.66 = 2,839.26 : x
  2. Step 2: Convert to fraction form
    6,537.06/9,804.66 = 2,839.26/x
  3. Step 3: Cross multiply
    6,537.06x = 9,804.66 × 2,839.26
  4. Step 4: Simplify right side
    6,537.06x = 27,837,978.95
  5. Step 5: Solve for x
    x = 27,837,978.95/6,537.06
  6. Step 6: Final answer
    x = 4,258.49

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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.