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Finding the Fourth Proportional to 6,415.83, 9,624.02 and 2,033.19

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Solution

The fourth proportional to 6,415.83, 9,624.02 and 2,033.19 is: 3,049.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.83 : 9,624.02 = 2,033.19 : x
  2. Step 2: Convert to fraction form
    6,415.83/9,624.02 = 2,033.19/x
  3. Step 3: Cross multiply
    6,415.83x = 9,624.02 × 2,033.19
  4. Step 4: Simplify right side
    6,415.83x = 19,567,461.22
  5. Step 5: Solve for x
    x = 19,567,461.22/6,415.83
  6. Step 6: Final answer
    x = 3,049.87

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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.