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Finding the Fourth Proportional to 9,298.56, 12,832.80 and 5,107.68

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Solution

The fourth proportional to 9,298.56, 12,832.80 and 5,107.68 is: 7,049.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,298.56 : 12,832.80 = 5,107.68 : x
  2. Step 2: Convert to fraction form
    9,298.56/12,832.80 = 5,107.68/x
  3. Step 3: Cross multiply
    9,298.56x = 12,832.80 × 5,107.68
  4. Step 4: Simplify right side
    9,298.56x = 65,545,835.90
  5. Step 5: Solve for x
    x = 65,545,835.90/9,298.56
  6. Step 6: Final answer
    x = 7,049.03

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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.