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Finding the Fourth Proportional to 7,130.25, 9,839.97 and 3,986.43

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Solution

The fourth proportional to 7,130.25, 9,839.97 and 3,986.43 is: 5,501.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,130.25 : 9,839.97 = 3,986.43 : x
  2. Step 2: Convert to fraction form
    7,130.25/9,839.97 = 3,986.43/x
  3. Step 3: Cross multiply
    7,130.25x = 9,839.97 × 3,986.43
  4. Step 4: Simplify right side
    7,130.25x = 39,226,351.61
  5. Step 5: Solve for x
    x = 39,226,351.61/7,130.25
  6. Step 6: Final answer
    x = 5,501.40

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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.