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Finding the Fourth Proportional to 6,023.50, 9,035.25 and 3,956.58

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Solution

The fourth proportional to 6,023.50, 9,035.25 and 3,956.58 is: 5,934.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,023.50 : 9,035.25 = 3,956.58 : x
  2. Step 2: Convert to fraction form
    6,023.50/9,035.25 = 3,956.58/x
  3. Step 3: Cross multiply
    6,023.50x = 9,035.25 × 3,956.58
  4. Step 4: Simplify right side
    6,023.50x = 35,748,674.61
  5. Step 5: Solve for x
    x = 35,748,674.61/6,023.50
  6. Step 6: Final answer
    x = 5,934.87

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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.