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Finding the Fourth Proportional to 9,794.51, 13,516.40 and 5,318.23

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Solution

The fourth proportional to 9,794.51, 13,516.40 and 5,318.23 is: 7,339.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.51 : 13,516.40 = 5,318.23 : x
  2. Step 2: Convert to fraction form
    9,794.51/13,516.40 = 5,318.23/x
  3. Step 3: Cross multiply
    9,794.51x = 13,516.40 × 5,318.23
  4. Step 4: Simplify right side
    9,794.51x = 71,883,323.97
  5. Step 5: Solve for x
    x = 71,883,323.97/9,794.51
  6. Step 6: Final answer
    x = 7,339.14

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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.