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Finding the Fourth Proportional to 6,517.31, 8,993.90 and 3,533.14

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Solution

The fourth proportional to 6,517.31, 8,993.90 and 3,533.14 is: 4,875.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517.31 : 8,993.90 = 3,533.14 : x
  2. Step 2: Convert to fraction form
    6,517.31/8,993.90 = 3,533.14/x
  3. Step 3: Cross multiply
    6,517.31x = 8,993.90 × 3,533.14
  4. Step 4: Simplify right side
    6,517.31x = 31,776,707.85
  5. Step 5: Solve for x
    x = 31,776,707.85/6,517.31
  6. Step 6: Final answer
    x = 4,875.74

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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.