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Finding the Fourth Proportional to 8,203.95, 11,331.90 and 6,884.46

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Solution

The fourth proportional to 8,203.95, 11,331.90 and 6,884.46 is: 9,509.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,203.95 : 11,331.90 = 6,884.46 : x
  2. Step 2: Convert to fraction form
    8,203.95/11,331.90 = 6,884.46/x
  3. Step 3: Cross multiply
    8,203.95x = 11,331.90 × 6,884.46
  4. Step 4: Simplify right side
    8,203.95x = 78,014,012.27
  5. Step 5: Solve for x
    x = 78,014,012.27/8,203.95
  6. Step 6: Final answer
    x = 9,509.32

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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.