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Finding the Fourth Proportional to 6,600.14, 9,901.75 and 1,920.25

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Solution

The fourth proportional to 6,600.14, 9,901.75 and 1,920.25 is: 2,880.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,600.14 : 9,901.75 = 1,920.25 : x
  2. Step 2: Convert to fraction form
    6,600.14/9,901.75 = 1,920.25/x
  3. Step 3: Cross multiply
    6,600.14x = 9,901.75 × 1,920.25
  4. Step 4: Simplify right side
    6,600.14x = 19,013,805.88
  5. Step 5: Solve for x
    x = 19,013,805.88/6,600.14
  6. Step 6: Final answer
    x = 2,880.82

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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.