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Finding the Fourth Proportional to 6,816.32, 9,406.56 and 4,021.76

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Solution

The fourth proportional to 6,816.32, 9,406.56 and 4,021.76 is: 5,550.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,816.32 : 9,406.56 = 4,021.76 : x
  2. Step 2: Convert to fraction form
    6,816.32/9,406.56 = 4,021.76/x
  3. Step 3: Cross multiply
    6,816.32x = 9,406.56 × 4,021.76
  4. Step 4: Simplify right side
    6,816.32x = 37,830,926.75
  5. Step 5: Solve for x
    x = 37,830,926.75/6,816.32
  6. Step 6: Final answer
    x = 5,550.05

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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.