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Finding the Fourth Proportional to 9,454.01, 13,046.84 and 5,205.28

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Solution

The fourth proportional to 9,454.01, 13,046.84 and 5,205.28 is: 7,183.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,454.01 : 13,046.84 = 5,205.28 : x
  2. Step 2: Convert to fraction form
    9,454.01/13,046.84 = 5,205.28/x
  3. Step 3: Cross multiply
    9,454.01x = 13,046.84 × 5,205.28
  4. Step 4: Simplify right side
    9,454.01x = 67,912,435.71
  5. Step 5: Solve for x
    x = 67,912,435.71/9,454.01
  6. Step 6: Final answer
    x = 7,183.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.