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Finding the Fourth Proportional to 6,075.40, 9,112.83 and 1,692.76

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Solution

The fourth proportional to 6,075.40, 9,112.83 and 1,692.76 is: 2,539.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,075.40 : 9,112.83 = 1,692.76 : x
  2. Step 2: Convert to fraction form
    6,075.40/9,112.83 = 1,692.76/x
  3. Step 3: Cross multiply
    6,075.40x = 9,112.83 × 1,692.76
  4. Step 4: Simplify right side
    6,075.40x = 15,425,834.11
  5. Step 5: Solve for x
    x = 15,425,834.11/6,075.40
  6. Step 6: Final answer
    x = 2,539.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.