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Finding the Fourth Proportional to 9,696.94, 13,383.63 and 6,333.95

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Solution

The fourth proportional to 9,696.94, 13,383.63 and 6,333.95 is: 8,742.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.94 : 13,383.63 = 6,333.95 : x
  2. Step 2: Convert to fraction form
    9,696.94/13,383.63 = 6,333.95/x
  3. Step 3: Cross multiply
    9,696.94x = 13,383.63 × 6,333.95
  4. Step 4: Simplify right side
    9,696.94x = 84,771,276.70
  5. Step 5: Solve for x
    x = 84,771,276.70/9,696.94
  6. Step 6: Final answer
    x = 8,742.07

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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.