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Finding the Fourth Proportional to 9,454.32, 14,213.88 and 9,208.08

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Solution

The fourth proportional to 9,454.32, 14,213.88 and 9,208.08 is: 13,843.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,454.32 : 14,213.88 = 9,208.08 : x
  2. Step 2: Convert to fraction form
    9,454.32/14,213.88 = 9,208.08/x
  3. Step 3: Cross multiply
    9,454.32x = 14,213.88 × 9,208.08
  4. Step 4: Simplify right side
    9,454.32x = 130,882,544.15
  5. Step 5: Solve for x
    x = 130,882,544.15/9,454.32
  6. Step 6: Final answer
    x = 13,843.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.