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Finding the Fourth Proportional to 6,973.01, 9,622.77 and 3,829.40

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Solution

The fourth proportional to 6,973.01, 9,622.77 and 3,829.40 is: 5,284.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,973.01 : 9,622.77 = 3,829.40 : x
  2. Step 2: Convert to fraction form
    6,973.01/9,622.77 = 3,829.40/x
  3. Step 3: Cross multiply
    6,973.01x = 9,622.77 × 3,829.40
  4. Step 4: Simplify right side
    6,973.01x = 36,849,435.44
  5. Step 5: Solve for x
    x = 36,849,435.44/6,973.01
  6. Step 6: Final answer
    x = 5,284.58

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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.