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Finding the Fourth Proportional to 6,122.76, 9,178.95 and 2,427.60

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Solution

The fourth proportional to 6,122.76, 9,178.95 and 2,427.60 is: 3,639.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,122.76 : 9,178.95 = 2,427.60 : x
  2. Step 2: Convert to fraction form
    6,122.76/9,178.95 = 2,427.60/x
  3. Step 3: Cross multiply
    6,122.76x = 9,178.95 × 2,427.60
  4. Step 4: Simplify right side
    6,122.76x = 22,282,819.02
  5. Step 5: Solve for x
    x = 22,282,819.02/6,122.76
  6. Step 6: Final answer
    x = 3,639.34

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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.