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Finding the Fourth Proportional to 9,782.03, 14,662.69 and 3,206.45

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Solution

The fourth proportional to 9,782.03, 14,662.69 and 3,206.45 is: 4,806.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.03 : 14,662.69 = 3,206.45 : x
  2. Step 2: Convert to fraction form
    9,782.03/14,662.69 = 3,206.45/x
  3. Step 3: Cross multiply
    9,782.03x = 14,662.69 × 3,206.45
  4. Step 4: Simplify right side
    9,782.03x = 47,015,210.99
  5. Step 5: Solve for x
    x = 47,015,210.99/9,782.03
  6. Step 6: Final answer
    x = 4,806.28

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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.