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Finding the Fourth Proportional to 6,140.95, 9,212.10 and 2,246.20

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Solution

The fourth proportional to 6,140.95, 9,212.10 and 2,246.20 is: 3,369.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,140.95 : 9,212.10 = 2,246.20 : x
  2. Step 2: Convert to fraction form
    6,140.95/9,212.10 = 2,246.20/x
  3. Step 3: Cross multiply
    6,140.95x = 9,212.10 × 2,246.20
  4. Step 4: Simplify right side
    6,140.95x = 20,692,219.02
  5. Step 5: Solve for x
    x = 20,692,219.02/6,140.95
  6. Step 6: Final answer
    x = 3,369.55

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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.