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Finding the Fourth Proportional to 6,297.65, 9,447.35 and 2,787.38

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Solution

The fourth proportional to 6,297.65, 9,447.35 and 2,787.38 is: 4,181.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.65 : 9,447.35 = 2,787.38 : x
  2. Step 2: Convert to fraction form
    6,297.65/9,447.35 = 2,787.38/x
  3. Step 3: Cross multiply
    6,297.65x = 9,447.35 × 2,787.38
  4. Step 4: Simplify right side
    6,297.65x = 26,333,293.27
  5. Step 5: Solve for x
    x = 26,333,293.27/6,297.65
  6. Step 6: Final answer
    x = 4,181.45

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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.