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Finding the Fourth Proportional to 9,769.84, 14,656.96 and 3,196.48

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Solution

The fourth proportional to 9,769.84, 14,656.96 and 3,196.48 is: 4,795.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,769.84 : 14,656.96 = 3,196.48 : x
  2. Step 2: Convert to fraction form
    9,769.84/14,656.96 = 3,196.48/x
  3. Step 3: Cross multiply
    9,769.84x = 14,656.96 × 3,196.48
  4. Step 4: Simplify right side
    9,769.84x = 46,850,679.50
  5. Step 5: Solve for x
    x = 46,850,679.50/9,769.84
  6. Step 6: Final answer
    x = 4,795.44

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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.