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Finding the Fourth Proportional to 9,894.94, 14,842.38 and 2,499.97

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Solution

The fourth proportional to 9,894.94, 14,842.38 and 2,499.97 is: 3,749.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.94 : 14,842.38 = 2,499.97 : x
  2. Step 2: Convert to fraction form
    9,894.94/14,842.38 = 2,499.97/x
  3. Step 3: Cross multiply
    9,894.94x = 14,842.38 × 2,499.97
  4. Step 4: Simplify right side
    9,894.94x = 37,105,504.73
  5. Step 5: Solve for x
    x = 37,105,504.73/9,894.94
  6. Step 6: Final answer
    x = 3,749.95

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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.