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Finding the Fourth Proportional to 6,314.53, 9,473.60 and 2,567.47

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Solution

The fourth proportional to 6,314.53, 9,473.60 and 2,567.47 is: 3,851.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.53 : 9,473.60 = 2,567.47 : x
  2. Step 2: Convert to fraction form
    6,314.53/9,473.60 = 2,567.47/x
  3. Step 3: Cross multiply
    6,314.53x = 9,473.60 × 2,567.47
  4. Step 4: Simplify right side
    6,314.53x = 24,323,183.79
  5. Step 5: Solve for x
    x = 24,323,183.79/6,314.53
  6. Step 6: Final answer
    x = 3,851.94

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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.