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Finding the Fourth Proportional to 6,521.46, 9,783.44 and 2,139.18

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Solution

The fourth proportional to 6,521.46, 9,783.44 and 2,139.18 is: 3,209.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,521.46 : 9,783.44 = 2,139.18 : x
  2. Step 2: Convert to fraction form
    6,521.46/9,783.44 = 2,139.18/x
  3. Step 3: Cross multiply
    6,521.46x = 9,783.44 × 2,139.18
  4. Step 4: Simplify right side
    6,521.46x = 20,928,528.48
  5. Step 5: Solve for x
    x = 20,928,528.48/6,521.46
  6. Step 6: Final answer
    x = 3,209.18

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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.