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Finding the Fourth Proportional to 6,628.67, 9,147.94 and 3,645.13

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Solution

The fourth proportional to 6,628.67, 9,147.94 and 3,645.13 is: 5,030.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,628.67 : 9,147.94 = 3,645.13 : x
  2. Step 2: Convert to fraction form
    6,628.67/9,147.94 = 3,645.13/x
  3. Step 3: Cross multiply
    6,628.67x = 9,147.94 × 3,645.13
  4. Step 4: Simplify right side
    6,628.67x = 33,345,430.53
  5. Step 5: Solve for x
    x = 33,345,430.53/6,628.67
  6. Step 6: Final answer
    x = 5,030.49

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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.