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Finding the Fourth Proportional to 9,794.25, 13,516.16 and 5,318.10

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Solution

The fourth proportional to 9,794.25, 13,516.16 and 5,318.10 is: 7,339.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.25 : 13,516.16 = 5,318.10 : x
  2. Step 2: Convert to fraction form
    9,794.25/13,516.16 = 5,318.10/x
  3. Step 3: Cross multiply
    9,794.25x = 13,516.16 × 5,318.10
  4. Step 4: Simplify right side
    9,794.25x = 71,880,263.91
  5. Step 5: Solve for x
    x = 71,880,263.91/9,794.25
  6. Step 6: Final answer
    x = 7,339.03

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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.