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Finding the Fourth Proportional to 6,204.64, 9,307.08 and 2,308.26

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Solution

The fourth proportional to 6,204.64, 9,307.08 and 2,308.26 is: 3,462.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,204.64 : 9,307.08 = 2,308.26 : x
  2. Step 2: Convert to fraction form
    6,204.64/9,307.08 = 2,308.26/x
  3. Step 3: Cross multiply
    6,204.64x = 9,307.08 × 2,308.26
  4. Step 4: Simplify right side
    6,204.64x = 21,483,160.48
  5. Step 5: Solve for x
    x = 21,483,160.48/6,204.64
  6. Step 6: Final answer
    x = 3,462.43

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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.