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Finding the Fourth Proportional to 6,973.06, 9,622.98 and 3,829.25

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Solution

The fourth proportional to 6,973.06, 9,622.98 and 3,829.25 is: 5,284.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,973.06 : 9,622.98 = 3,829.25 : x
  2. Step 2: Convert to fraction form
    6,973.06/9,622.98 = 3,829.25/x
  3. Step 3: Cross multiply
    6,973.06x = 9,622.98 × 3,829.25
  4. Step 4: Simplify right side
    6,973.06x = 36,848,796.17
  5. Step 5: Solve for x
    x = 36,848,796.17/6,973.06
  6. Step 6: Final answer
    x = 5,284.45

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