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Finding the Fourth Proportional to 9,464.56, 13,059.96 and 5,431.18

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Solution

The fourth proportional to 9,464.56, 13,059.96 and 5,431.18 is: 7,494.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,464.56 : 13,059.96 = 5,431.18 : x
  2. Step 2: Convert to fraction form
    9,464.56/13,059.96 = 5,431.18/x
  3. Step 3: Cross multiply
    9,464.56x = 13,059.96 × 5,431.18
  4. Step 4: Simplify right side
    9,464.56x = 70,930,993.55
  5. Step 5: Solve for x
    x = 70,930,993.55/9,464.56
  6. Step 6: Final answer
    x = 7,494.38

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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.