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Finding the Fourth Proportional to 6,430.33, 9,645.81 and 2,047.69

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Solution

The fourth proportional to 6,430.33, 9,645.81 and 2,047.69 is: 3,071.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430.33 : 9,645.81 = 2,047.69 : x
  2. Step 2: Convert to fraction form
    6,430.33/9,645.81 = 2,047.69/x
  3. Step 3: Cross multiply
    6,430.33x = 9,645.81 × 2,047.69
  4. Step 4: Simplify right side
    6,430.33x = 19,751,628.68
  5. Step 5: Solve for x
    x = 19,751,628.68/6,430.33
  6. Step 6: Final answer
    x = 3,071.64

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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.