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Finding the Fourth Proportional to 6,428.61, 9,644.36 and 2,730.96

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Solution

The fourth proportional to 6,428.61, 9,644.36 and 2,730.96 is: 4,097.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,428.61 : 9,644.36 = 2,730.96 : x
  2. Step 2: Convert to fraction form
    6,428.61/9,644.36 = 2,730.96/x
  3. Step 3: Cross multiply
    6,428.61x = 9,644.36 × 2,730.96
  4. Step 4: Simplify right side
    6,428.61x = 26,338,347.73
  5. Step 5: Solve for x
    x = 26,338,347.73/6,428.61
  6. Step 6: Final answer
    x = 4,097.05

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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.