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Finding the Fourth Proportional to 7,967.20, 11,929.20 and 6,239.20

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Solution

The fourth proportional to 7,967.20, 11,929.20 and 6,239.20 is: 9,341.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,967.20 : 11,929.20 = 6,239.20 : x
  2. Step 2: Convert to fraction form
    7,967.20/11,929.20 = 6,239.20/x
  3. Step 3: Cross multiply
    7,967.20x = 11,929.20 × 6,239.20
  4. Step 4: Simplify right side
    7,967.20x = 74,428,664.64
  5. Step 5: Solve for x
    x = 74,428,664.64/7,967.20
  6. Step 6: Final answer
    x = 9,341.88

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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.