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Finding the Fourth Proportional to 6,308.34, 9,463.02 and 2,609.88

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Solution

The fourth proportional to 6,308.34, 9,463.02 and 2,609.88 is: 3,915.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,308.34 : 9,463.02 = 2,609.88 : x
  2. Step 2: Convert to fraction form
    6,308.34/9,463.02 = 2,609.88/x
  3. Step 3: Cross multiply
    6,308.34x = 9,463.02 × 2,609.88
  4. Step 4: Simplify right side
    6,308.34x = 24,697,346.64
  5. Step 5: Solve for x
    x = 24,697,346.64/6,308.34
  6. Step 6: Final answer
    x = 3,915.03

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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.