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Finding the Fourth Proportional to 6,782.40, 9,350.96 and 4,388.22

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Solution

The fourth proportional to 6,782.40, 9,350.96 and 4,388.22 is: 6,050.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782.40 : 9,350.96 = 4,388.22 : x
  2. Step 2: Convert to fraction form
    6,782.40/9,350.96 = 4,388.22/x
  3. Step 3: Cross multiply
    6,782.40x = 9,350.96 × 4,388.22
  4. Step 4: Simplify right side
    6,782.40x = 41,034,047.75
  5. Step 5: Solve for x
    x = 41,034,047.75/6,782.40
  6. Step 6: Final answer
    x = 6,050.08

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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.