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Finding the Fourth Proportional to 6,937.29, 9,571.62 and 3,953.06

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Solution

The fourth proportional to 6,937.29, 9,571.62 and 3,953.06 is: 5,454.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,937.29 : 9,571.62 = 3,953.06 : x
  2. Step 2: Convert to fraction form
    6,937.29/9,571.62 = 3,953.06/x
  3. Step 3: Cross multiply
    6,937.29x = 9,571.62 × 3,953.06
  4. Step 4: Simplify right side
    6,937.29x = 37,837,180.36
  5. Step 5: Solve for x
    x = 37,837,180.36/6,937.29
  6. Step 6: Final answer
    x = 5,454.17

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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.