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Finding the Fourth Proportional to 6,730.31, 9,256.92 and 5,401.10

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Solution

The fourth proportional to 6,730.31, 9,256.92 and 5,401.10 is: 7,428.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,730.31 : 9,256.92 = 5,401.10 : x
  2. Step 2: Convert to fraction form
    6,730.31/9,256.92 = 5,401.10/x
  3. Step 3: Cross multiply
    6,730.31x = 9,256.92 × 5,401.10
  4. Step 4: Simplify right side
    6,730.31x = 49,997,550.61
  5. Step 5: Solve for x
    x = 49,997,550.61/6,730.31
  6. Step 6: Final answer
    x = 7,428.71

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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.