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Finding the Fourth Proportional to 6,204.78, 9,301.68 and 2,308.26

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Solution

The fourth proportional to 6,204.78, 9,301.68 and 2,308.26 is: 3,460.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,204.78 : 9,301.68 = 2,308.26 : x
  2. Step 2: Convert to fraction form
    6,204.78/9,301.68 = 2,308.26/x
  3. Step 3: Cross multiply
    6,204.78x = 9,301.68 × 2,308.26
  4. Step 4: Simplify right side
    6,204.78x = 21,470,695.88
  5. Step 5: Solve for x
    x = 21,470,695.88/6,204.78
  6. Step 6: Final answer
    x = 3,460.35

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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.