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Finding the Fourth Proportional to 9,193.77, 13,795.22 and 3,647.00

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Solution

The fourth proportional to 9,193.77, 13,795.22 and 3,647.00 is: 5,472.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,193.77 : 13,795.22 = 3,647.00 : x
  2. Step 2: Convert to fraction form
    9,193.77/13,795.22 = 3,647.00/x
  3. Step 3: Cross multiply
    9,193.77x = 13,795.22 × 3,647.00
  4. Step 4: Simplify right side
    9,193.77x = 50,311,080.13
  5. Step 5: Solve for x
    x = 50,311,080.13/9,193.77
  6. Step 6: Final answer
    x = 5,472.30

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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.