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Finding the Fourth Proportional to 9,849.12, 14,771.16 and 2,922

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Solution

The fourth proportional to 9,849.12, 14,771.16 and 2,922 is: 4,382.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,849.12 : 14,771.16 = 2,922 : x
  2. Step 2: Convert to fraction form
    9,849.12/14,771.16 = 2,922/x
  3. Step 3: Cross multiply
    9,849.12x = 14,771.16 × 2,922
  4. Step 4: Simplify right side
    9,849.12x = 43,161,329.52
  5. Step 5: Solve for x
    x = 43,161,329.52/9,849.12
  6. Step 6: Final answer
    x = 4,382.25

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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.