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Finding the Fourth Proportional to 9,616.05, 13,269.24 and 5,366.34

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Solution

The fourth proportional to 9,616.05, 13,269.24 and 5,366.34 is: 7,405.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.05 : 13,269.24 = 5,366.34 : x
  2. Step 2: Convert to fraction form
    9,616.05/13,269.24 = 5,366.34/x
  3. Step 3: Cross multiply
    9,616.05x = 13,269.24 × 5,366.34
  4. Step 4: Simplify right side
    9,616.05x = 71,207,253.38
  5. Step 5: Solve for x
    x = 71,207,253.38/9,616.05
  6. Step 6: Final answer
    x = 7,405.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.