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Finding the Fourth Proportional to 6,517.09, 9,773.25 and 2,356.10

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Solution

The fourth proportional to 6,517.09, 9,773.25 and 2,356.10 is: 3,533.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517.09 : 9,773.25 = 2,356.10 : x
  2. Step 2: Convert to fraction form
    6,517.09/9,773.25 = 2,356.10/x
  3. Step 3: Cross multiply
    6,517.09x = 9,773.25 × 2,356.10
  4. Step 4: Simplify right side
    6,517.09x = 23,026,754.33
  5. Step 5: Solve for x
    x = 23,026,754.33/6,517.09
  6. Step 6: Final answer
    x = 3,533.29

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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.