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Finding the Fourth Proportional to 6,313.80, 9,469.86 and 4,567.14

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Solution

The fourth proportional to 6,313.80, 9,469.86 and 4,567.14 is: 6,850.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,313.80 : 9,469.86 = 4,567.14 : x
  2. Step 2: Convert to fraction form
    6,313.80/9,469.86 = 4,567.14/x
  3. Step 3: Cross multiply
    6,313.80x = 9,469.86 × 4,567.14
  4. Step 4: Simplify right side
    6,313.80x = 43,250,176.40
  5. Step 5: Solve for x
    x = 43,250,176.40/6,313.80
  6. Step 6: Final answer
    x = 6,850.10

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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.