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Finding the Fourth Proportional to 9,295.94, 13,946.10 and 3,055.97

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Solution

The fourth proportional to 9,295.94, 13,946.10 and 3,055.97 is: 4,584.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,295.94 : 13,946.10 = 3,055.97 : x
  2. Step 2: Convert to fraction form
    9,295.94/13,946.10 = 3,055.97/x
  3. Step 3: Cross multiply
    9,295.94x = 13,946.10 × 3,055.97
  4. Step 4: Simplify right side
    9,295.94x = 42,618,857.24
  5. Step 5: Solve for x
    x = 42,618,857.24/9,295.94
  6. Step 6: Final answer
    x = 4,584.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.