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Finding the Fourth Proportional to 6,308.36, 9,464.36 and 2,609.90

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Solution

The fourth proportional to 6,308.36, 9,464.36 and 2,609.90 is: 3,915.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,308.36 : 9,464.36 = 2,609.90 : x
  2. Step 2: Convert to fraction form
    6,308.36/9,464.36 = 2,609.90/x
  3. Step 3: Cross multiply
    6,308.36x = 9,464.36 × 2,609.90
  4. Step 4: Simplify right side
    6,308.36x = 24,700,972.79
  5. Step 5: Solve for x
    x = 24,700,972.79/6,308.36
  6. Step 6: Final answer
    x = 3,915.60

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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.