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Finding the Fourth Proportional to 9,463.41, 13,059.32 and 5,484.42

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Solution

The fourth proportional to 9,463.41, 13,059.32 and 5,484.42 is: 7,568.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,463.41 : 13,059.32 = 5,484.42 : x
  2. Step 2: Convert to fraction form
    9,463.41/13,059.32 = 5,484.42/x
  3. Step 3: Cross multiply
    9,463.41x = 13,059.32 × 5,484.42
  4. Step 4: Simplify right side
    9,463.41x = 71,622,768.37
  5. Step 5: Solve for x
    x = 71,622,768.37/9,463.41
  6. Step 6: Final answer
    x = 7,568.39

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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.