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Finding the Fourth Proportional to 6,826.14, 9,416.93 and 4,934.72

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Solution

The fourth proportional to 6,826.14, 9,416.93 and 4,934.72 is: 6,807.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,826.14 : 9,416.93 = 4,934.72 : x
  2. Step 2: Convert to fraction form
    6,826.14/9,416.93 = 4,934.72/x
  3. Step 3: Cross multiply
    6,826.14x = 9,416.93 × 4,934.72
  4. Step 4: Simplify right side
    6,826.14x = 46,469,911.68
  5. Step 5: Solve for x
    x = 46,469,911.68/6,826.14
  6. Step 6: Final answer
    x = 6,807.64

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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.