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Finding the Fourth Proportional to 6,075.49, 9,114.45 and 1,916.14

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Solution

The fourth proportional to 6,075.49, 9,114.45 and 1,916.14 is: 2,874.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,075.49 : 9,114.45 = 1,916.14 : x
  2. Step 2: Convert to fraction form
    6,075.49/9,114.45 = 1,916.14/x
  3. Step 3: Cross multiply
    6,075.49x = 9,114.45 × 1,916.14
  4. Step 4: Simplify right side
    6,075.49x = 17,464,516.65
  5. Step 5: Solve for x
    x = 17,464,516.65/6,075.49
  6. Step 6: Final answer
    x = 2,874.59

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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.