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Finding the Fourth Proportional to 6,474.05, 8,912.59 and 6,176.50

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Solution

The fourth proportional to 6,474.05, 8,912.59 and 6,176.50 is: 8,502.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.05 : 8,912.59 = 6,176.50 : x
  2. Step 2: Convert to fraction form
    6,474.05/8,912.59 = 6,176.50/x
  3. Step 3: Cross multiply
    6,474.05x = 8,912.59 × 6,176.50
  4. Step 4: Simplify right side
    6,474.05x = 55,048,574.41
  5. Step 5: Solve for x
    x = 55,048,574.41/6,474.05
  6. Step 6: Final answer
    x = 8,502.96

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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.