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Finding the Fourth Proportional to 6,658.78, 9,189.04 and 3,674.63

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Solution

The fourth proportional to 6,658.78, 9,189.04 and 3,674.63 is: 5,070.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,658.78 : 9,189.04 = 3,674.63 : x
  2. Step 2: Convert to fraction form
    6,658.78/9,189.04 = 3,674.63/x
  3. Step 3: Cross multiply
    6,658.78x = 9,189.04 × 3,674.63
  4. Step 4: Simplify right side
    6,658.78x = 33,766,322.06
  5. Step 5: Solve for x
    x = 33,766,322.06/6,658.78
  6. Step 6: Final answer
    x = 5,070.95

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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.