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Finding the Fourth Proportional to 9,305.09, 12,840.97 and 5,056.19

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Solution

The fourth proportional to 9,305.09, 12,840.97 and 5,056.19 is: 6,977.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,305.09 : 12,840.97 = 5,056.19 : x
  2. Step 2: Convert to fraction form
    9,305.09/12,840.97 = 5,056.19/x
  3. Step 3: Cross multiply
    9,305.09x = 12,840.97 × 5,056.19
  4. Step 4: Simplify right side
    9,305.09x = 64,926,384.10
  5. Step 5: Solve for x
    x = 64,926,384.10/9,305.09
  6. Step 6: Final answer
    x = 6,977.51

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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.