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Finding the Fourth Proportional to 6,826.32, 9,416.64 and 4,561.56

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Solution

The fourth proportional to 6,826.32, 9,416.64 and 4,561.56 is: 6,292.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,826.32 : 9,416.64 = 4,561.56 : x
  2. Step 2: Convert to fraction form
    6,826.32/9,416.64 = 4,561.56/x
  3. Step 3: Cross multiply
    6,826.32x = 9,416.64 × 4,561.56
  4. Step 4: Simplify right side
    6,826.32x = 42,954,568.36
  5. Step 5: Solve for x
    x = 42,954,568.36/6,826.32
  6. Step 6: Final answer
    x = 6,292.49

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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.