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Finding the Fourth Proportional to 6,411.83, 9,622.62 and 4,326.89

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Solution

The fourth proportional to 6,411.83, 9,622.62 and 4,326.89 is: 6,493.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.83 : 9,622.62 = 4,326.89 : x
  2. Step 2: Convert to fraction form
    6,411.83/9,622.62 = 4,326.89/x
  3. Step 3: Cross multiply
    6,411.83x = 9,622.62 × 4,326.89
  4. Step 4: Simplify right side
    6,411.83x = 41,635,970.14
  5. Step 5: Solve for x
    x = 41,635,970.14/6,411.83
  6. Step 6: Final answer
    x = 6,493.62

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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.