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Finding the Fourth Proportional to 9,410.94, 12,986.46 and 5,428.98

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Solution

The fourth proportional to 9,410.94, 12,986.46 and 5,428.98 is: 7,491.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,410.94 : 12,986.46 = 5,428.98 : x
  2. Step 2: Convert to fraction form
    9,410.94/12,986.46 = 5,428.98/x
  3. Step 3: Cross multiply
    9,410.94x = 12,986.46 × 5,428.98
  4. Step 4: Simplify right side
    9,410.94x = 70,503,231.61
  5. Step 5: Solve for x
    x = 70,503,231.61/9,410.94
  6. Step 6: Final answer
    x = 7,491.62

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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.