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Finding the Fourth Proportional to 9,633.44, 13,285.14 and 6,090.32

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Solution

The fourth proportional to 9,633.44, 13,285.14 and 6,090.32 is: 8,398.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,633.44 : 13,285.14 = 6,090.32 : x
  2. Step 2: Convert to fraction form
    9,633.44/13,285.14 = 6,090.32/x
  3. Step 3: Cross multiply
    9,633.44x = 13,285.14 × 6,090.32
  4. Step 4: Simplify right side
    9,633.44x = 80,910,753.84
  5. Step 5: Solve for x
    x = 80,910,753.84/9,633.44
  6. Step 6: Final answer
    x = 8,398.95

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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.