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Finding the Fourth Proportional to 6,824.05, 9,409.06 and 4,581.16

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Solution

The fourth proportional to 6,824.05, 9,409.06 and 4,581.16 is: 6,316.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,824.05 : 9,409.06 = 4,581.16 : x
  2. Step 2: Convert to fraction form
    6,824.05/9,409.06 = 4,581.16/x
  3. Step 3: Cross multiply
    6,824.05x = 9,409.06 × 4,581.16
  4. Step 4: Simplify right side
    6,824.05x = 43,104,391.51
  5. Step 5: Solve for x
    x = 43,104,391.51/6,824.05
  6. Step 6: Final answer
    x = 6,316.54

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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.