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Finding the Fourth Proportional to 9,771.77, 14,659.02 and 3,196.64

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Solution

The fourth proportional to 9,771.77, 14,659.02 and 3,196.64 is: 4,795.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.77 : 14,659.02 = 3,196.64 : x
  2. Step 2: Convert to fraction form
    9,771.77/14,659.02 = 3,196.64/x
  3. Step 3: Cross multiply
    9,771.77x = 14,659.02 × 3,196.64
  4. Step 4: Simplify right side
    9,771.77x = 46,859,646.34
  5. Step 5: Solve for x
    x = 46,859,646.34/9,771.77
  6. Step 6: Final answer
    x = 4,795.41

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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.