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Finding the Fourth Proportional to 6,826.37, 9,422.17 and 4,176.00

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Solution

The fourth proportional to 6,826.37, 9,422.17 and 4,176.00 is: 5,763.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,826.37 : 9,422.17 = 4,176.00 : x
  2. Step 2: Convert to fraction form
    6,826.37/9,422.17 = 4,176.00/x
  3. Step 3: Cross multiply
    6,826.37x = 9,422.17 × 4,176.00
  4. Step 4: Simplify right side
    6,826.37x = 39,346,934.81
  5. Step 5: Solve for x
    x = 39,346,934.81/6,826.37
  6. Step 6: Final answer
    x = 5,763.97

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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.