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Finding the Fourth Proportional to 6,957.26, 9,601.98 and 3,973.38

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Solution

The fourth proportional to 6,957.26, 9,601.98 and 3,973.38 is: 5,483.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,957.26 : 9,601.98 = 3,973.38 : x
  2. Step 2: Convert to fraction form
    6,957.26/9,601.98 = 3,973.38/x
  3. Step 3: Cross multiply
    6,957.26x = 9,601.98 × 3,973.38
  4. Step 4: Simplify right side
    6,957.26x = 38,152,315.29
  5. Step 5: Solve for x
    x = 38,152,315.29/6,957.26
  6. Step 6: Final answer
    x = 5,483.81

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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.