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Finding the Fourth Proportional to 6,555.24, 9,828.06 and 4,217.88

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Solution

The fourth proportional to 6,555.24, 9,828.06 and 4,217.88 is: 6,323.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,555.24 : 9,828.06 = 4,217.88 : x
  2. Step 2: Convert to fraction form
    6,555.24/9,828.06 = 4,217.88/x
  3. Step 3: Cross multiply
    6,555.24x = 9,828.06 × 4,217.88
  4. Step 4: Simplify right side
    6,555.24x = 41,453,577.71
  5. Step 5: Solve for x
    x = 41,453,577.71/6,555.24
  6. Step 6: Final answer
    x = 6,323.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.