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Finding the Fourth Proportional to 9,894.99, 14,842.36 and 3,974.50

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Solution

The fourth proportional to 9,894.99, 14,842.36 and 3,974.50 is: 5,961.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.99 : 14,842.36 = 3,974.50 : x
  2. Step 2: Convert to fraction form
    9,894.99/14,842.36 = 3,974.50/x
  3. Step 3: Cross multiply
    9,894.99x = 14,842.36 × 3,974.50
  4. Step 4: Simplify right side
    9,894.99x = 58,990,959.82
  5. Step 5: Solve for x
    x = 58,990,959.82/9,894.99
  6. Step 6: Final answer
    x = 5,961.70

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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.