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Finding the Fourth Proportional to 9,668.88, 14,504.02 and 3,004.50

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Solution

The fourth proportional to 9,668.88, 14,504.02 and 3,004.50 is: 4,506.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668.88 : 14,504.02 = 3,004.50 : x
  2. Step 2: Convert to fraction form
    9,668.88/14,504.02 = 3,004.50/x
  3. Step 3: Cross multiply
    9,668.88x = 14,504.02 × 3,004.50
  4. Step 4: Simplify right side
    9,668.88x = 43,577,328.09
  5. Step 5: Solve for x
    x = 43,577,328.09/9,668.88
  6. Step 6: Final answer
    x = 4,506.97

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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.