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Finding the Fourth Proportional to 7,206.62, 9,945.15 and 4,020.13

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Solution

The fourth proportional to 7,206.62, 9,945.15 and 4,020.13 is: 5,547.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,206.62 : 9,945.15 = 4,020.13 : x
  2. Step 2: Convert to fraction form
    7,206.62/9,945.15 = 4,020.13/x
  3. Step 3: Cross multiply
    7,206.62x = 9,945.15 × 4,020.13
  4. Step 4: Simplify right side
    7,206.62x = 39,980,759.90
  5. Step 5: Solve for x
    x = 39,980,759.90/7,206.62
  6. Step 6: Final answer
    x = 5,547.78

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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.