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Finding the Fourth Proportional to 9,894.24, 14,840.97 and 2,498.61

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Solution

The fourth proportional to 9,894.24, 14,840.97 and 2,498.61 is: 3,747.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.24 : 14,840.97 = 2,498.61 : x
  2. Step 2: Convert to fraction form
    9,894.24/14,840.97 = 2,498.61/x
  3. Step 3: Cross multiply
    9,894.24x = 14,840.97 × 2,498.61
  4. Step 4: Simplify right side
    9,894.24x = 37,081,796.05
  5. Step 5: Solve for x
    x = 37,081,796.05/9,894.24
  6. Step 6: Final answer
    x = 3,747.82

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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.