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Finding the Fourth Proportional to 9,694, 14,529.26 and 4,421.79

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Solution

The fourth proportional to 9,694, 14,529.26 and 4,421.79 is: 6,627.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,694 : 14,529.26 = 4,421.79 : x
  2. Step 2: Convert to fraction form
    9,694/14,529.26 = 4,421.79/x
  3. Step 3: Cross multiply
    9,694x = 14,529.26 × 4,421.79
  4. Step 4: Simplify right side
    9,694x = 64,245,336.58
  5. Step 5: Solve for x
    x = 64,245,336.58/9,694
  6. Step 6: Final answer
    x = 6,627.33

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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.