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Finding the Fourth Proportional to 6,288.42, 9,374.79 and 5,993.16

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Solution

The fourth proportional to 6,288.42, 9,374.79 and 5,993.16 is: 8,934.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,288.42 : 9,374.79 = 5,993.16 : x
  2. Step 2: Convert to fraction form
    6,288.42/9,374.79 = 5,993.16/x
  3. Step 3: Cross multiply
    6,288.42x = 9,374.79 × 5,993.16
  4. Step 4: Simplify right side
    6,288.42x = 56,184,616.44
  5. Step 5: Solve for x
    x = 56,184,616.44/6,288.42
  6. Step 6: Final answer
    x = 8,934.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.