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Finding the Fourth Proportional to 9,516.57, 13,132.79 and 5,267.63

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Solution

The fourth proportional to 9,516.57, 13,132.79 and 5,267.63 is: 7,269.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,516.57 : 13,132.79 = 5,267.63 : x
  2. Step 2: Convert to fraction form
    9,516.57/13,132.79 = 5,267.63/x
  3. Step 3: Cross multiply
    9,516.57x = 13,132.79 × 5,267.63
  4. Step 4: Simplify right side
    9,516.57x = 69,178,704.84
  5. Step 5: Solve for x
    x = 69,178,704.84/9,516.57
  6. Step 6: Final answer
    x = 7,269.29

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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.