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Finding the Fourth Proportional to 6,522.40, 9,784.98 and 2,139.49

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Solution

The fourth proportional to 6,522.40, 9,784.98 and 2,139.49 is: 3,209.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522.40 : 9,784.98 = 2,139.49 : x
  2. Step 2: Convert to fraction form
    6,522.40/9,784.98 = 2,139.49/x
  3. Step 3: Cross multiply
    6,522.40x = 9,784.98 × 2,139.49
  4. Step 4: Simplify right side
    6,522.40x = 20,934,866.86
  5. Step 5: Solve for x
    x = 20,934,866.86/6,522.40
  6. Step 6: Final answer
    x = 3,209.69

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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.