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Finding the Fourth Proportional to 6,406.51, 9,608.55 and 2,023.60

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Solution

The fourth proportional to 6,406.51, 9,608.55 and 2,023.60 is: 3,035.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.51 : 9,608.55 = 2,023.60 : x
  2. Step 2: Convert to fraction form
    6,406.51/9,608.55 = 2,023.60/x
  3. Step 3: Cross multiply
    6,406.51x = 9,608.55 × 2,023.60
  4. Step 4: Simplify right side
    6,406.51x = 19,443,861.78
  5. Step 5: Solve for x
    x = 19,443,861.78/6,406.51
  6. Step 6: Final answer
    x = 3,035.02

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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.