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Finding the Fourth Proportional to 6,308.74, 9,459.99 and 3,677.20

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Solution

The fourth proportional to 6,308.74, 9,459.99 and 3,677.20 is: 5,513.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,308.74 : 9,459.99 = 3,677.20 : x
  2. Step 2: Convert to fraction form
    6,308.74/9,459.99 = 3,677.20/x
  3. Step 3: Cross multiply
    6,308.74x = 9,459.99 × 3,677.20
  4. Step 4: Simplify right side
    6,308.74x = 34,786,251.58
  5. Step 5: Solve for x
    x = 34,786,251.58/6,308.74
  6. Step 6: Final answer
    x = 5,513.98

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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.