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Finding the Fourth Proportional to 6,937.37, 9,574.22 and 4,105.64

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Solution

The fourth proportional to 6,937.37, 9,574.22 and 4,105.64 is: 5,666.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,937.37 : 9,574.22 = 4,105.64 : x
  2. Step 2: Convert to fraction form
    6,937.37/9,574.22 = 4,105.64/x
  3. Step 3: Cross multiply
    6,937.37x = 9,574.22 × 4,105.64
  4. Step 4: Simplify right side
    6,937.37x = 39,308,262.99
  5. Step 5: Solve for x
    x = 39,308,262.99/6,937.37
  6. Step 6: Final answer
    x = 5,666.17

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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.