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Finding the Fourth Proportional to 6,093.23, 8,412.57 and 4,976.84

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Solution

The fourth proportional to 6,093.23, 8,412.57 and 4,976.84 is: 6,871.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,093.23 : 8,412.57 = 4,976.84 : x
  2. Step 2: Convert to fraction form
    6,093.23/8,412.57 = 4,976.84/x
  3. Step 3: Cross multiply
    6,093.23x = 8,412.57 × 4,976.84
  4. Step 4: Simplify right side
    6,093.23x = 41,868,035.91
  5. Step 5: Solve for x
    x = 41,868,035.91/6,093.23
  6. Step 6: Final answer
    x = 6,871.24

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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.