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Finding the Fourth Proportional to 6,712.74, 9,260.73 and 4,022.46

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Solution

The fourth proportional to 6,712.74, 9,260.73 and 4,022.46 is: 5,549.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,712.74 : 9,260.73 = 4,022.46 : x
  2. Step 2: Convert to fraction form
    6,712.74/9,260.73 = 4,022.46/x
  3. Step 3: Cross multiply
    6,712.74x = 9,260.73 × 4,022.46
  4. Step 4: Simplify right side
    6,712.74x = 37,250,916.00
  5. Step 5: Solve for x
    x = 37,250,916.00/6,712.74
  6. Step 6: Final answer
    x = 5,549.29

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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.