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Finding the Fourth Proportional to 6,023.88, 9,037.67 and 2,075.22

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Solution

The fourth proportional to 6,023.88, 9,037.67 and 2,075.22 is: 3,113.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,023.88 : 9,037.67 = 2,075.22 : x
  2. Step 2: Convert to fraction form
    6,023.88/9,037.67 = 2,075.22/x
  3. Step 3: Cross multiply
    6,023.88x = 9,037.67 × 2,075.22
  4. Step 4: Simplify right side
    6,023.88x = 18,755,143.16
  5. Step 5: Solve for x
    x = 18,755,143.16/6,023.88
  6. Step 6: Final answer
    x = 3,113.47

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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.