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Finding the Fourth Proportional to 9,435, 14,152.80 and 3,194.94

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Solution

The fourth proportional to 9,435, 14,152.80 and 3,194.94 is: 4,792.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,435 : 14,152.80 = 3,194.94 : x
  2. Step 2: Convert to fraction form
    9,435/14,152.80 = 3,194.94/x
  3. Step 3: Cross multiply
    9,435x = 14,152.80 × 3,194.94
  4. Step 4: Simplify right side
    9,435x = 45,217,346.83
  5. Step 5: Solve for x
    x = 45,217,346.83/9,435
  6. Step 6: Final answer
    x = 4,792.51

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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.