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Finding the Fourth Proportional to 6,192.72, 9,278.28 and 5,159.36

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Solution

The fourth proportional to 6,192.72, 9,278.28 and 5,159.36 is: 7,730.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,192.72 : 9,278.28 = 5,159.36 : x
  2. Step 2: Convert to fraction form
    6,192.72/9,278.28 = 5,159.36/x
  3. Step 3: Cross multiply
    6,192.72x = 9,278.28 × 5,159.36
  4. Step 4: Simplify right side
    6,192.72x = 47,869,940.31
  5. Step 5: Solve for x
    x = 47,869,940.31/6,192.72
  6. Step 6: Final answer
    x = 7,730.03

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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.