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Finding the Fourth Proportional to 9,847.02, 13,583.07 and 6,308.94

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Solution

The fourth proportional to 9,847.02, 13,583.07 and 6,308.94 is: 8,702.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,847.02 : 13,583.07 = 6,308.94 : x
  2. Step 2: Convert to fraction form
    9,847.02/13,583.07 = 6,308.94/x
  3. Step 3: Cross multiply
    9,847.02x = 13,583.07 × 6,308.94
  4. Step 4: Simplify right side
    9,847.02x = 85,694,773.65
  5. Step 5: Solve for x
    x = 85,694,773.65/9,847.02
  6. Step 6: Final answer
    x = 8,702.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.