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Finding the Fourth Proportional to 9,668.94, 14,504.42 and 4,122.87

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Solution

The fourth proportional to 9,668.94, 14,504.42 and 4,122.87 is: 6,184.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668.94 : 14,504.42 = 4,122.87 : x
  2. Step 2: Convert to fraction form
    9,668.94/14,504.42 = 4,122.87/x
  3. Step 3: Cross multiply
    9,668.94x = 14,504.42 × 4,122.87
  4. Step 4: Simplify right side
    9,668.94x = 59,799,848.39
  5. Step 5: Solve for x
    x = 59,799,848.39/9,668.94
  6. Step 6: Final answer
    x = 6,184.74

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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.