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Finding the Fourth Proportional to 6,417.65, 9,622.31 and 4,219.72

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Solution

The fourth proportional to 6,417.65, 9,622.31 and 4,219.72 is: 6,326.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,417.65 : 9,622.31 = 4,219.72 : x
  2. Step 2: Convert to fraction form
    6,417.65/9,622.31 = 4,219.72/x
  3. Step 3: Cross multiply
    6,417.65x = 9,622.31 × 4,219.72
  4. Step 4: Simplify right side
    6,417.65x = 40,603,453.95
  5. Step 5: Solve for x
    x = 40,603,453.95/6,417.65
  6. Step 6: Final answer
    x = 6,326.84

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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.