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Finding the Fourth Proportional to 6,209.28, 9,317.04 and 2,922

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Solution

The fourth proportional to 6,209.28, 9,317.04 and 2,922 is: 4,384.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,209.28 : 9,317.04 = 2,922 : x
  2. Step 2: Convert to fraction form
    6,209.28/9,317.04 = 2,922/x
  3. Step 3: Cross multiply
    6,209.28x = 9,317.04 × 2,922
  4. Step 4: Simplify right side
    6,209.28x = 27,224,390.88
  5. Step 5: Solve for x
    x = 27,224,390.88/6,209.28
  6. Step 6: Final answer
    x = 4,384.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.