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Finding the Fourth Proportional to 6,558.46, 9,049.64 and 3,686.62

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Solution

The fourth proportional to 6,558.46, 9,049.64 and 3,686.62 is: 5,086.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,558.46 : 9,049.64 = 3,686.62 : x
  2. Step 2: Convert to fraction form
    6,558.46/9,049.64 = 3,686.62/x
  3. Step 3: Cross multiply
    6,558.46x = 9,049.64 × 3,686.62
  4. Step 4: Simplify right side
    6,558.46x = 33,362,542.76
  5. Step 5: Solve for x
    x = 33,362,542.76/6,558.46
  6. Step 6: Final answer
    x = 5,086.95

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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.