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Finding the Fourth Proportional to 9,405.70, 12,981.26 and 5,426.04

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Solution

The fourth proportional to 9,405.70, 12,981.26 and 5,426.04 is: 7,488.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,405.70 : 12,981.26 = 5,426.04 : x
  2. Step 2: Convert to fraction form
    9,405.70/12,981.26 = 5,426.04/x
  3. Step 3: Cross multiply
    9,405.70x = 12,981.26 × 5,426.04
  4. Step 4: Simplify right side
    9,405.70x = 70,436,836.01
  5. Step 5: Solve for x
    x = 70,436,836.01/9,405.70
  6. Step 6: Final answer
    x = 7,488.74

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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.