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Finding the Fourth Proportional to 6,403.75, 9,602.29 and 3,023.02

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Solution

The fourth proportional to 6,403.75, 9,602.29 and 3,023.02 is: 4,532.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,403.75 : 9,602.29 = 3,023.02 : x
  2. Step 2: Convert to fraction form
    6,403.75/9,602.29 = 3,023.02/x
  3. Step 3: Cross multiply
    6,403.75x = 9,602.29 × 3,023.02
  4. Step 4: Simplify right side
    6,403.75x = 29,027,859.15
  5. Step 5: Solve for x
    x = 29,027,859.15/6,403.75
  6. Step 6: Final answer
    x = 4,532.95

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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.