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Finding the Fourth Proportional to 9,454.38, 13,046.49 and 5,475.21

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Solution

The fourth proportional to 9,454.38, 13,046.49 and 5,475.21 is: 7,555.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,454.38 : 13,046.49 = 5,475.21 : x
  2. Step 2: Convert to fraction form
    9,454.38/13,046.49 = 5,475.21/x
  3. Step 3: Cross multiply
    9,454.38x = 13,046.49 × 5,475.21
  4. Step 4: Simplify right side
    9,454.38x = 71,432,272.51
  5. Step 5: Solve for x
    x = 71,432,272.51/9,454.38
  6. Step 6: Final answer
    x = 7,555.47

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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.