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Finding the Fourth Proportional to 9,668.64, 14,504.10 and 3,427.36

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Solution

The fourth proportional to 9,668.64, 14,504.10 and 3,427.36 is: 5,141.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668.64 : 14,504.10 = 3,427.36 : x
  2. Step 2: Convert to fraction form
    9,668.64/14,504.10 = 3,427.36/x
  3. Step 3: Cross multiply
    9,668.64x = 14,504.10 × 3,427.36
  4. Step 4: Simplify right side
    9,668.64x = 49,710,772.18
  5. Step 5: Solve for x
    x = 49,710,772.18/9,668.64
  6. Step 6: Final answer
    x = 5,141.44

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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.