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Finding the Fourth Proportional to 6,658.61, 9,189.41 and 3,675.06

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Solution

The fourth proportional to 6,658.61, 9,189.41 and 3,675.06 is: 5,071.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,658.61 : 9,189.41 = 3,675.06 : x
  2. Step 2: Convert to fraction form
    6,658.61/9,189.41 = 3,675.06/x
  3. Step 3: Cross multiply
    6,658.61x = 9,189.41 × 3,675.06
  4. Step 4: Simplify right side
    6,658.61x = 33,771,614.74
  5. Step 5: Solve for x
    x = 33,771,614.74/6,658.61
  6. Step 6: Final answer
    x = 5,071.88

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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.