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Finding the Fourth Proportional to 9,694.84, 13,379.20 and 6,867.28

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Solution

The fourth proportional to 9,694.84, 13,379.20 and 6,867.28 is: 9,477.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,694.84 : 13,379.20 = 6,867.28 : x
  2. Step 2: Convert to fraction form
    9,694.84/13,379.20 = 6,867.28/x
  3. Step 3: Cross multiply
    9,694.84x = 13,379.20 × 6,867.28
  4. Step 4: Simplify right side
    9,694.84x = 91,878,712.58
  5. Step 5: Solve for x
    x = 91,878,712.58/9,694.84
  6. Step 6: Final answer
    x = 9,477.07

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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.