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Finding the Fourth Proportional to 6,188.01, 9,276.80 and 4,208.09

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Solution

The fourth proportional to 6,188.01, 9,276.80 and 4,208.09 is: 6,308.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,188.01 : 9,276.80 = 4,208.09 : x
  2. Step 2: Convert to fraction form
    6,188.01/9,276.80 = 4,208.09/x
  3. Step 3: Cross multiply
    6,188.01x = 9,276.80 × 4,208.09
  4. Step 4: Simplify right side
    6,188.01x = 39,037,643.02
  5. Step 5: Solve for x
    x = 39,037,643.02/6,188.01
  6. Step 6: Final answer
    x = 6,308.59

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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.