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Finding the Fourth Proportional to 6,308.90, 9,467.40 and 3,676.40

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Solution

The fourth proportional to 6,308.90, 9,467.40 and 3,676.40 is: 5,516.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,308.90 : 9,467.40 = 3,676.40 : x
  2. Step 2: Convert to fraction form
    6,308.90/9,467.40 = 3,676.40/x
  3. Step 3: Cross multiply
    6,308.90x = 9,467.40 × 3,676.40
  4. Step 4: Simplify right side
    6,308.90x = 34,805,949.36
  5. Step 5: Solve for x
    x = 34,805,949.36/6,308.90
  6. Step 6: Final answer
    x = 5,516.96

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Why These Related Problems?

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