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Finding the Fourth Proportional to 9,254.92, 12,760.62 and 6,424.70

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Solution

The fourth proportional to 9,254.92, 12,760.62 and 6,424.70 is: 8,858.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,254.92 : 12,760.62 = 6,424.70 : x
  2. Step 2: Convert to fraction form
    9,254.92/12,760.62 = 6,424.70/x
  3. Step 3: Cross multiply
    9,254.92x = 12,760.62 × 6,424.70
  4. Step 4: Simplify right side
    9,254.92x = 81,983,155.31
  5. Step 5: Solve for x
    x = 81,983,155.31/9,254.92
  6. Step 6: Final answer
    x = 8,858.33

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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.