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Finding the Fourth Proportional to 9,443.49, 13,030.38 and 5,464.37

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Solution

The fourth proportional to 9,443.49, 13,030.38 and 5,464.37 is: 7,539.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,443.49 : 13,030.38 = 5,464.37 : x
  2. Step 2: Convert to fraction form
    9,443.49/13,030.38 = 5,464.37/x
  3. Step 3: Cross multiply
    9,443.49x = 13,030.38 × 5,464.37
  4. Step 4: Simplify right side
    9,443.49x = 71,202,752.41
  5. Step 5: Solve for x
    x = 71,202,752.41/9,443.49
  6. Step 6: Final answer
    x = 7,539.88

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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.