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Finding the Fourth Proportional to 9,736.94, 14,599.02 and 4,809.80

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Solution

The fourth proportional to 9,736.94, 14,599.02 and 4,809.80 is: 7,211.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,736.94 : 14,599.02 = 4,809.80 : x
  2. Step 2: Convert to fraction form
    9,736.94/14,599.02 = 4,809.80/x
  3. Step 3: Cross multiply
    9,736.94x = 14,599.02 × 4,809.80
  4. Step 4: Simplify right side
    9,736.94x = 70,218,366.40
  5. Step 5: Solve for x
    x = 70,218,366.40/9,736.94
  6. Step 6: Final answer
    x = 7,211.54

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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.