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Finding the Fourth Proportional to 6,316.68, 9,475.46 and 1,933.80

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Solution

The fourth proportional to 6,316.68, 9,475.46 and 1,933.80 is: 2,900.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,316.68 : 9,475.46 = 1,933.80 : x
  2. Step 2: Convert to fraction form
    6,316.68/9,475.46 = 1,933.80/x
  3. Step 3: Cross multiply
    6,316.68x = 9,475.46 × 1,933.80
  4. Step 4: Simplify right side
    6,316.68x = 18,323,644.55
  5. Step 5: Solve for x
    x = 18,323,644.55/6,316.68
  6. Step 6: Final answer
    x = 2,900.83

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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.