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Finding the Fourth Proportional to 9,138.16, 13,702.20 and 5,850.64

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Solution

The fourth proportional to 9,138.16, 13,702.20 and 5,850.64 is: 8,772.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.16 : 13,702.20 = 5,850.64 : x
  2. Step 2: Convert to fraction form
    9,138.16/13,702.20 = 5,850.64/x
  3. Step 3: Cross multiply
    9,138.16x = 13,702.20 × 5,850.64
  4. Step 4: Simplify right side
    9,138.16x = 80,166,639.41
  5. Step 5: Solve for x
    x = 80,166,639.41/9,138.16
  6. Step 6: Final answer
    x = 8,772.73

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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.