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Finding the Fourth Proportional to 6,822.69, 9,410.26 and 4,698.90

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Solution

The fourth proportional to 6,822.69, 9,410.26 and 4,698.90 is: 6,481.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,822.69 : 9,410.26 = 4,698.90 : x
  2. Step 2: Convert to fraction form
    6,822.69/9,410.26 = 4,698.90/x
  3. Step 3: Cross multiply
    6,822.69x = 9,410.26 × 4,698.90
  4. Step 4: Simplify right side
    6,822.69x = 44,217,870.71
  5. Step 5: Solve for x
    x = 44,217,870.71/6,822.69
  6. Step 6: Final answer
    x = 6,481.00

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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.