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Finding the Fourth Proportional to 9,305.74, 12,842.09 and 5,056.83

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Solution

The fourth proportional to 9,305.74, 12,842.09 and 5,056.83 is: 6,978.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,305.74 : 12,842.09 = 5,056.83 : x
  2. Step 2: Convert to fraction form
    9,305.74/12,842.09 = 5,056.83/x
  3. Step 3: Cross multiply
    9,305.74x = 12,842.09 × 5,056.83
  4. Step 4: Simplify right side
    9,305.74x = 64,940,288.10
  5. Step 5: Solve for x
    x = 64,940,288.10/9,305.74
  6. Step 6: Final answer
    x = 6,978.52

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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.