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Finding the Fourth Proportional to 6,826.06, 9,416.76 and 4,435.86

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Solution

The fourth proportional to 6,826.06, 9,416.76 and 4,435.86 is: 6,119.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,826.06 : 9,416.76 = 4,435.86 : x
  2. Step 2: Convert to fraction form
    6,826.06/9,416.76 = 4,435.86/x
  3. Step 3: Cross multiply
    6,826.06x = 9,416.76 × 4,435.86
  4. Step 4: Simplify right side
    6,826.06x = 41,771,429.01
  5. Step 5: Solve for x
    x = 41,771,429.01/6,826.06
  6. Step 6: Final answer
    x = 6,119.41

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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.