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Finding the Fourth Proportional to 7,104.41, 9,805.25 and 4,274.65

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Solution

The fourth proportional to 7,104.41, 9,805.25 and 4,274.65 is: 5,899.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,104.41 : 9,805.25 = 4,274.65 : x
  2. Step 2: Convert to fraction form
    7,104.41/9,805.25 = 4,274.65/x
  3. Step 3: Cross multiply
    7,104.41x = 9,805.25 × 4,274.65
  4. Step 4: Simplify right side
    7,104.41x = 41,913,966.03
  5. Step 5: Solve for x
    x = 41,913,966.03/7,104.41
  6. Step 6: Final answer
    x = 5,899.71

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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.