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Finding the Fourth Proportional to 6,350.10, 9,524.10 and 2,133.30

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Solution

The fourth proportional to 6,350.10, 9,524.10 and 2,133.30 is: 3,199.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,350.10 : 9,524.10 = 2,133.30 : x
  2. Step 2: Convert to fraction form
    6,350.10/9,524.10 = 2,133.30/x
  3. Step 3: Cross multiply
    6,350.10x = 9,524.10 × 2,133.30
  4. Step 4: Simplify right side
    6,350.10x = 20,317,762.53
  5. Step 5: Solve for x
    x = 20,317,762.53/6,350.10
  6. Step 6: Final answer
    x = 3,199.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.