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Finding the Fourth Proportional to 6,826.73, 9,416.03 and 4,556.92

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Solution

The fourth proportional to 6,826.73, 9,416.03 and 4,556.92 is: 6,285.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,826.73 : 9,416.03 = 4,556.92 : x
  2. Step 2: Convert to fraction form
    6,826.73/9,416.03 = 4,556.92/x
  3. Step 3: Cross multiply
    6,826.73x = 9,416.03 × 4,556.92
  4. Step 4: Simplify right side
    6,826.73x = 42,908,106.06
  5. Step 5: Solve for x
    x = 42,908,106.06/6,826.73
  6. Step 6: Final answer
    x = 6,285.31

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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.