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Finding the Fourth Proportional to 6,033.14, 9,026.94 and 4,075.64

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Solution

The fourth proportional to 6,033.14, 9,026.94 and 4,075.64 is: 6,098.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,033.14 : 9,026.94 = 4,075.64 : x
  2. Step 2: Convert to fraction form
    6,033.14/9,026.94 = 4,075.64/x
  3. Step 3: Cross multiply
    6,033.14x = 9,026.94 × 4,075.64
  4. Step 4: Simplify right side
    6,033.14x = 36,790,557.74
  5. Step 5: Solve for x
    x = 36,790,557.74/6,033.14
  6. Step 6: Final answer
    x = 6,098.08

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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.