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Finding the Fourth Proportional to 6,400.72, 9,601.08 and 1,720.90

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Solution

The fourth proportional to 6,400.72, 9,601.08 and 1,720.90 is: 2,581.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.72 : 9,601.08 = 1,720.90 : x
  2. Step 2: Convert to fraction form
    6,400.72/9,601.08 = 1,720.90/x
  3. Step 3: Cross multiply
    6,400.72x = 9,601.08 × 1,720.90
  4. Step 4: Simplify right side
    6,400.72x = 16,522,498.57
  5. Step 5: Solve for x
    x = 16,522,498.57/6,400.72
  6. Step 6: Final answer
    x = 2,581.35

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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.