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Finding the Fourth Proportional to 6,782.24, 9,356.37 and 4,393.00

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Solution

The fourth proportional to 6,782.24, 9,356.37 and 4,393.00 is: 6,060.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782.24 : 9,356.37 = 4,393.00 : x
  2. Step 2: Convert to fraction form
    6,782.24/9,356.37 = 4,393.00/x
  3. Step 3: Cross multiply
    6,782.24x = 9,356.37 × 4,393.00
  4. Step 4: Simplify right side
    6,782.24x = 41,102,565.81
  5. Step 5: Solve for x
    x = 41,102,565.81/6,782.24
  6. Step 6: Final answer
    x = 6,060.33

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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.