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Finding the Fourth Proportional to 9,206.60, 13,802.13 and 4,273.70

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Solution

The fourth proportional to 9,206.60, 13,802.13 and 4,273.70 is: 6,406.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206.60 : 13,802.13 = 4,273.70 : x
  2. Step 2: Convert to fraction form
    9,206.60/13,802.13 = 4,273.70/x
  3. Step 3: Cross multiply
    9,206.60x = 13,802.13 × 4,273.70
  4. Step 4: Simplify right side
    9,206.60x = 58,986,162.98
  5. Step 5: Solve for x
    x = 58,986,162.98/9,206.60
  6. Step 6: Final answer
    x = 6,406.94

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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.