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Finding the Fourth Proportional to 6,973.48, 9,623.46 and 3,829.48

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Solution

The fourth proportional to 6,973.48, 9,623.46 and 3,829.48 is: 5,284.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,973.48 : 9,623.46 = 3,829.48 : x
  2. Step 2: Convert to fraction form
    6,973.48/9,623.46 = 3,829.48/x
  3. Step 3: Cross multiply
    6,973.48x = 9,623.46 × 3,829.48
  4. Step 4: Simplify right side
    6,973.48x = 36,852,847.60
  5. Step 5: Solve for x
    x = 36,852,847.60/6,973.48
  6. Step 6: Final answer
    x = 5,284.71

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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.