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Finding the Fourth Proportional to 6,755.77, 9,322.50 and 4,237.75

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Solution

The fourth proportional to 6,755.77, 9,322.50 and 4,237.75 is: 5,847.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,755.77 : 9,322.50 = 4,237.75 : x
  2. Step 2: Convert to fraction form
    6,755.77/9,322.50 = 4,237.75/x
  3. Step 3: Cross multiply
    6,755.77x = 9,322.50 × 4,237.75
  4. Step 4: Simplify right side
    6,755.77x = 39,506,424.38
  5. Step 5: Solve for x
    x = 39,506,424.38/6,755.77
  6. Step 6: Final answer
    x = 5,847.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.