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Finding the Fourth Proportional to 9,645.77, 13,308.35 and 6,108.09

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Solution

The fourth proportional to 9,645.77, 13,308.35 and 6,108.09 is: 8,427.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,645.77 : 13,308.35 = 6,108.09 : x
  2. Step 2: Convert to fraction form
    9,645.77/13,308.35 = 6,108.09/x
  3. Step 3: Cross multiply
    9,645.77x = 13,308.35 × 6,108.09
  4. Step 4: Simplify right side
    9,645.77x = 81,288,569.01
  5. Step 5: Solve for x
    x = 81,288,569.01/9,645.77
  6. Step 6: Final answer
    x = 8,427.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.