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Finding the Fourth Proportional to 7,075.87, 9,764.47 and 4,091.83

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Solution

The fourth proportional to 7,075.87, 9,764.47 and 4,091.83 is: 5,646.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,075.87 : 9,764.47 = 4,091.83 : x
  2. Step 2: Convert to fraction form
    7,075.87/9,764.47 = 4,091.83/x
  3. Step 3: Cross multiply
    7,075.87x = 9,764.47 × 4,091.83
  4. Step 4: Simplify right side
    7,075.87x = 39,954,551.28
  5. Step 5: Solve for x
    x = 39,954,551.28/7,075.87
  6. Step 6: Final answer
    x = 5,646.59

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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.