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Finding the Fourth Proportional to 7,206.93, 9,945.69 and 4,412.43

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Solution

The fourth proportional to 7,206.93, 9,945.69 and 4,412.43 is: 6,089.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,206.93 : 9,945.69 = 4,412.43 : x
  2. Step 2: Convert to fraction form
    7,206.93/9,945.69 = 4,412.43/x
  3. Step 3: Cross multiply
    7,206.93x = 9,945.69 × 4,412.43
  4. Step 4: Simplify right side
    7,206.93x = 43,884,660.93
  5. Step 5: Solve for x
    x = 43,884,660.93/7,206.93
  6. Step 6: Final answer
    x = 6,089.23

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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.