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Finding the Fourth Proportional to 9,198.32, 13,792.16 and 6,280.16

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Solution

The fourth proportional to 9,198.32, 13,792.16 and 6,280.16 is: 9,416.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.32 : 13,792.16 = 6,280.16 : x
  2. Step 2: Convert to fraction form
    9,198.32/13,792.16 = 6,280.16/x
  3. Step 3: Cross multiply
    9,198.32x = 13,792.16 × 6,280.16
  4. Step 4: Simplify right side
    9,198.32x = 86,616,971.55
  5. Step 5: Solve for x
    x = 86,616,971.55/9,198.32
  6. Step 6: Final answer
    x = 9,416.61

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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.