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Finding the Fourth Proportional to 6,072.68, 9,109.02 and 1,690.14

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Solution

The fourth proportional to 6,072.68, 9,109.02 and 1,690.14 is: 2,535.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,072.68 : 9,109.02 = 1,690.14 : x
  2. Step 2: Convert to fraction form
    6,072.68/9,109.02 = 1,690.14/x
  3. Step 3: Cross multiply
    6,072.68x = 9,109.02 × 1,690.14
  4. Step 4: Simplify right side
    6,072.68x = 15,395,510.61
  5. Step 5: Solve for x
    x = 15,395,510.61/6,072.68
  6. Step 6: Final answer
    x = 2,535.21

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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.