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Finding the Fourth Proportional to 6,973.12, 9,621.64 and 3,948.22

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Solution

The fourth proportional to 6,973.12, 9,621.64 and 3,948.22 is: 5,447.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,973.12 : 9,621.64 = 3,948.22 : x
  2. Step 2: Convert to fraction form
    6,973.12/9,621.64 = 3,948.22/x
  3. Step 3: Cross multiply
    6,973.12x = 9,621.64 × 3,948.22
  4. Step 4: Simplify right side
    6,973.12x = 37,988,351.48
  5. Step 5: Solve for x
    x = 37,988,351.48/6,973.12
  6. Step 6: Final answer
    x = 5,447.83

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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.