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Finding the Fourth Proportional to 6,973.08, 9,622.98 and 3,829.38

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Solution

The fourth proportional to 6,973.08, 9,622.98 and 3,829.38 is: 5,284.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,973.08 : 9,622.98 = 3,829.38 : x
  2. Step 2: Convert to fraction form
    6,973.08/9,622.98 = 3,829.38/x
  3. Step 3: Cross multiply
    6,973.08x = 9,622.98 × 3,829.38
  4. Step 4: Simplify right side
    6,973.08x = 36,850,047.15
  5. Step 5: Solve for x
    x = 36,850,047.15/6,973.08
  6. Step 6: Final answer
    x = 5,284.62

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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.