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Finding the Fourth Proportional to 9,247.78, 13,859.74 and 8,057.01

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Solution

The fourth proportional to 9,247.78, 13,859.74 and 8,057.01 is: 12,075.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,247.78 : 13,859.74 = 8,057.01 : x
  2. Step 2: Convert to fraction form
    9,247.78/13,859.74 = 8,057.01/x
  3. Step 3: Cross multiply
    9,247.78x = 13,859.74 × 8,057.01
  4. Step 4: Simplify right side
    9,247.78x = 111,668,063.78
  5. Step 5: Solve for x
    x = 111,668,063.78/9,247.78
  6. Step 6: Final answer
    x = 12,075.12

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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.