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Finding the Fourth Proportional to 6,435.16, 9,654.89 and 2,537.44

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Solution

The fourth proportional to 6,435.16, 9,654.89 and 2,537.44 is: 3,807.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,435.16 : 9,654.89 = 2,537.44 : x
  2. Step 2: Convert to fraction form
    6,435.16/9,654.89 = 2,537.44/x
  3. Step 3: Cross multiply
    6,435.16x = 9,654.89 × 2,537.44
  4. Step 4: Simplify right side
    6,435.16x = 24,498,704.08
  5. Step 5: Solve for x
    x = 24,498,704.08/6,435.16
  6. Step 6: Final answer
    x = 3,807.01

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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.