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Finding the Fourth Proportional to 6,138.95, 9,208.02 and 2,628.95

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Solution

The fourth proportional to 6,138.95, 9,208.02 and 2,628.95 is: 3,943.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.95 : 9,208.02 = 2,628.95 : x
  2. Step 2: Convert to fraction form
    6,138.95/9,208.02 = 2,628.95/x
  3. Step 3: Cross multiply
    6,138.95x = 9,208.02 × 2,628.95
  4. Step 4: Simplify right side
    6,138.95x = 24,207,424.18
  5. Step 5: Solve for x
    x = 24,207,424.18/6,138.95
  6. Step 6: Final answer
    x = 3,943.25

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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.