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Finding the Fourth Proportional to 6,300.44, 8,693.64 and 3,782.00

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Solution

The fourth proportional to 6,300.44, 8,693.64 and 3,782.00 is: 5,218.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,300.44 : 8,693.64 = 3,782.00 : x
  2. Step 2: Convert to fraction form
    6,300.44/8,693.64 = 3,782.00/x
  3. Step 3: Cross multiply
    6,300.44x = 8,693.64 × 3,782.00
  4. Step 4: Simplify right side
    6,300.44x = 32,879,303.01
  5. Step 5: Solve for x
    x = 32,879,303.01/6,300.44
  6. Step 6: Final answer
    x = 5,218.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.