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Finding the Fourth Proportional to 6,308.77, 9,465.88 and 3,383.66

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Solution

The fourth proportional to 6,308.77, 9,465.88 and 3,383.66 is: 5,076.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,308.77 : 9,465.88 = 3,383.66 : x
  2. Step 2: Convert to fraction form
    6,308.77/9,465.88 = 3,383.66/x
  3. Step 3: Cross multiply
    6,308.77x = 9,465.88 × 3,383.66
  4. Step 4: Simplify right side
    6,308.77x = 32,029,272.19
  5. Step 5: Solve for x
    x = 32,029,272.19/6,308.77
  6. Step 6: Final answer
    x = 5,076.95

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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.