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Finding the Fourth Proportional to 9,470.10, 14,205.15 and 3,626.71

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Solution

The fourth proportional to 9,470.10, 14,205.15 and 3,626.71 is: 5,440.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,470.10 : 14,205.15 = 3,626.71 : x
  2. Step 2: Convert to fraction form
    9,470.10/14,205.15 = 3,626.71/x
  3. Step 3: Cross multiply
    9,470.10x = 14,205.15 × 3,626.71
  4. Step 4: Simplify right side
    9,470.10x = 51,517,959.56
  5. Step 5: Solve for x
    x = 51,517,959.56/9,470.10
  6. Step 6: Final answer
    x = 5,440.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.