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Finding the Fourth Proportional to 9,847.52, 13,585.80 and 6,310.16

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Solution

The fourth proportional to 9,847.52, 13,585.80 and 6,310.16 is: 8,705.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,847.52 : 13,585.80 = 6,310.16 : x
  2. Step 2: Convert to fraction form
    9,847.52/13,585.80 = 6,310.16/x
  3. Step 3: Cross multiply
    9,847.52x = 13,585.80 × 6,310.16
  4. Step 4: Simplify right side
    9,847.52x = 85,728,571.73
  5. Step 5: Solve for x
    x = 85,728,571.73/9,847.52
  6. Step 6: Final answer
    x = 8,705.60

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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.