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Finding the Fourth Proportional to 9,777.81, 14,668.10 and 3,204.51

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Solution

The fourth proportional to 9,777.81, 14,668.10 and 3,204.51 is: 4,807.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.81 : 14,668.10 = 3,204.51 : x
  2. Step 2: Convert to fraction form
    9,777.81/14,668.10 = 3,204.51/x
  3. Step 3: Cross multiply
    9,777.81x = 14,668.10 × 3,204.51
  4. Step 4: Simplify right side
    9,777.81x = 47,004,057.11
  5. Step 5: Solve for x
    x = 47,004,057.11/9,777.81
  6. Step 6: Final answer
    x = 4,807.22

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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.