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Finding the Fourth Proportional to 6,826.77, 9,427.83 and 5,145.48

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Solution

The fourth proportional to 6,826.77, 9,427.83 and 5,145.48 is: 7,105.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,826.77 : 9,427.83 = 5,145.48 : x
  2. Step 2: Convert to fraction form
    6,826.77/9,427.83 = 5,145.48/x
  3. Step 3: Cross multiply
    6,826.77x = 9,427.83 × 5,145.48
  4. Step 4: Simplify right side
    6,826.77x = 48,510,710.71
  5. Step 5: Solve for x
    x = 48,510,710.71/6,826.77
  6. Step 6: Final answer
    x = 7,105.95

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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.