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Finding the Fourth Proportional to 6,308.02, 9,467.07 and 3,713.14

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Solution

The fourth proportional to 6,308.02, 9,467.07 and 3,713.14 is: 5,572.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,308.02 : 9,467.07 = 3,713.14 : x
  2. Step 2: Convert to fraction form
    6,308.02/9,467.07 = 3,713.14/x
  3. Step 3: Cross multiply
    6,308.02x = 9,467.07 × 3,713.14
  4. Step 4: Simplify right side
    6,308.02x = 35,152,556.30
  5. Step 5: Solve for x
    x = 35,152,556.30/6,308.02
  6. Step 6: Final answer
    x = 5,572.68

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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.