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Finding the Fourth Proportional to 6,308.22, 9,457.92 and 2,796.30

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Solution

The fourth proportional to 6,308.22, 9,457.92 and 2,796.30 is: 4,192.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,308.22 : 9,457.92 = 2,796.30 : x
  2. Step 2: Convert to fraction form
    6,308.22/9,457.92 = 2,796.30/x
  3. Step 3: Cross multiply
    6,308.22x = 9,457.92 × 2,796.30
  4. Step 4: Simplify right side
    6,308.22x = 26,447,181.70
  5. Step 5: Solve for x
    x = 26,447,181.70/6,308.22
  6. Step 6: Final answer
    x = 4,192.50

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Why These Related Problems?

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