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Finding the Fourth Proportional to 9,454.38, 13,047.32 and 5,205.88

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Solution

The fourth proportional to 9,454.38, 13,047.32 and 5,205.88 is: 7,184.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,454.38 : 13,047.32 = 5,205.88 : x
  2. Step 2: Convert to fraction form
    9,454.38/13,047.32 = 5,205.88/x
  3. Step 3: Cross multiply
    9,454.38x = 13,047.32 × 5,205.88
  4. Step 4: Simplify right side
    9,454.38x = 67,922,782.24
  5. Step 5: Solve for x
    x = 67,922,782.24/9,454.38
  6. Step 6: Final answer
    x = 7,184.27

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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.