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Finding the Fourth Proportional to 6,659.35, 9,189.74 and 3,675.20

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Solution

The fourth proportional to 6,659.35, 9,189.74 and 3,675.20 is: 5,071.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,659.35 : 9,189.74 = 3,675.20 : x
  2. Step 2: Convert to fraction form
    6,659.35/9,189.74 = 3,675.20/x
  3. Step 3: Cross multiply
    6,659.35x = 9,189.74 × 3,675.20
  4. Step 4: Simplify right side
    6,659.35x = 33,774,095.69
  5. Step 5: Solve for x
    x = 33,774,095.69/6,659.35
  6. Step 6: Final answer
    x = 5,071.68

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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.