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Finding the Fourth Proportional to 6,133.25, 8,464.10 and 4,343.96

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Solution

The fourth proportional to 6,133.25, 8,464.10 and 4,343.96 is: 5,994.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,133.25 : 8,464.10 = 4,343.96 : x
  2. Step 2: Convert to fraction form
    6,133.25/8,464.10 = 4,343.96/x
  3. Step 3: Cross multiply
    6,133.25x = 8,464.10 × 4,343.96
  4. Step 4: Simplify right side
    6,133.25x = 36,767,647.80
  5. Step 5: Solve for x
    x = 36,767,647.80/6,133.25
  6. Step 6: Final answer
    x = 5,994.81

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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.