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Finding the Fourth Proportional to 9,416.27, 12,990.56 and 5,434.56

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Solution

The fourth proportional to 9,416.27, 12,990.56 and 5,434.56 is: 7,497.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,416.27 : 12,990.56 = 5,434.56 : x
  2. Step 2: Convert to fraction form
    9,416.27/12,990.56 = 5,434.56/x
  3. Step 3: Cross multiply
    9,416.27x = 12,990.56 × 5,434.56
  4. Step 4: Simplify right side
    9,416.27x = 70,597,977.75
  5. Step 5: Solve for x
    x = 70,597,977.75/9,416.27
  6. Step 6: Final answer
    x = 7,497.45

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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.