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Finding the Fourth Proportional to 9,295.01, 13,935.14 and 3,370.97

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Solution

The fourth proportional to 9,295.01, 13,935.14 and 3,370.97 is: 5,053.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,295.01 : 13,935.14 = 3,370.97 : x
  2. Step 2: Convert to fraction form
    9,295.01/13,935.14 = 3,370.97/x
  3. Step 3: Cross multiply
    9,295.01x = 13,935.14 × 3,370.97
  4. Step 4: Simplify right side
    9,295.01x = 46,974,852.36
  5. Step 5: Solve for x
    x = 46,974,852.36/9,295.01
  6. Step 6: Final answer
    x = 5,053.77

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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.