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Finding the Fourth Proportional to 6,659.32, 9,189.70 and 3,675.16

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Solution

The fourth proportional to 6,659.32, 9,189.70 and 3,675.16 is: 5,071.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,659.32 : 9,189.70 = 3,675.16 : x
  2. Step 2: Convert to fraction form
    6,659.32/9,189.70 = 3,675.16/x
  3. Step 3: Cross multiply
    6,659.32x = 9,189.70 × 3,675.16
  4. Step 4: Simplify right side
    6,659.32x = 33,773,617.85
  5. Step 5: Solve for x
    x = 33,773,617.85/6,659.32
  6. Step 6: Final answer
    x = 5,071.63

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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.