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Finding the Fourth Proportional to 9,894.69, 14,843.88 and 3,141.99

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Solution

The fourth proportional to 9,894.69, 14,843.88 and 3,141.99 is: 4,713.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.69 : 14,843.88 = 3,141.99 : x
  2. Step 2: Convert to fraction form
    9,894.69/14,843.88 = 3,141.99/x
  3. Step 3: Cross multiply
    9,894.69x = 14,843.88 × 3,141.99
  4. Step 4: Simplify right side
    9,894.69x = 46,639,322.52
  5. Step 5: Solve for x
    x = 46,639,322.52/9,894.69
  6. Step 6: Final answer
    x = 4,713.57

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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.