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Finding the Fourth Proportional to 9,245.48, 12,764.16 and 5,891.13

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Solution

The fourth proportional to 9,245.48, 12,764.16 and 5,891.13 is: 8,133.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,245.48 : 12,764.16 = 5,891.13 : x
  2. Step 2: Convert to fraction form
    9,245.48/12,764.16 = 5,891.13/x
  3. Step 3: Cross multiply
    9,245.48x = 12,764.16 × 5,891.13
  4. Step 4: Simplify right side
    9,245.48x = 75,195,325.90
  5. Step 5: Solve for x
    x = 75,195,325.90/9,245.48
  6. Step 6: Final answer
    x = 8,133.20

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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.