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Finding the Fourth Proportional to 6,628.50, 9,147.33 and 3,834.18

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Solution

The fourth proportional to 6,628.50, 9,147.33 and 3,834.18 is: 5,291.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,628.50 : 9,147.33 = 3,834.18 : x
  2. Step 2: Convert to fraction form
    6,628.50/9,147.33 = 3,834.18/x
  3. Step 3: Cross multiply
    6,628.50x = 9,147.33 × 3,834.18
  4. Step 4: Simplify right side
    6,628.50x = 35,072,509.74
  5. Step 5: Solve for x
    x = 35,072,509.74/6,628.50
  6. Step 6: Final answer
    x = 5,291.17

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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.