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Finding the Fourth Proportional to 7,130.91, 9,839.82 and 4,146.27

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Solution

The fourth proportional to 7,130.91, 9,839.82 and 4,146.27 is: 5,721.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,130.91 : 9,839.82 = 4,146.27 : x
  2. Step 2: Convert to fraction form
    7,130.91/9,839.82 = 4,146.27/x
  3. Step 3: Cross multiply
    7,130.91x = 9,839.82 × 4,146.27
  4. Step 4: Simplify right side
    7,130.91x = 40,798,550.47
  5. Step 5: Solve for x
    x = 40,798,550.47/7,130.91
  6. Step 6: Final answer
    x = 5,721.37

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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.