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Finding the Fourth Proportional to 7,193.94, 9,927.81 and 4,007.45

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Solution

The fourth proportional to 7,193.94, 9,927.81 and 4,007.45 is: 5,530.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,193.94 : 9,927.81 = 4,007.45 : x
  2. Step 2: Convert to fraction form
    7,193.94/9,927.81 = 4,007.45/x
  3. Step 3: Cross multiply
    7,193.94x = 9,927.81 × 4,007.45
  4. Step 4: Simplify right side
    7,193.94x = 39,785,227.00
  5. Step 5: Solve for x
    x = 39,785,227.00/7,193.94
  6. Step 6: Final answer
    x = 5,530.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.