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Finding the Fourth Proportional to 9,482.37, 14,218.88 and 2,906.97

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Solution

The fourth proportional to 9,482.37, 14,218.88 and 2,906.97 is: 4,359.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,482.37 : 14,218.88 = 2,906.97 : x
  2. Step 2: Convert to fraction form
    9,482.37/14,218.88 = 2,906.97/x
  3. Step 3: Cross multiply
    9,482.37x = 14,218.88 × 2,906.97
  4. Step 4: Simplify right side
    9,482.37x = 41,333,843.06
  5. Step 5: Solve for x
    x = 41,333,843.06/9,482.37
  6. Step 6: Final answer
    x = 4,359.02

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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.