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Finding the Fourth Proportional to 6,429.06, 9,616.92 and 6,035.40

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Solution

The fourth proportional to 6,429.06, 9,616.92 and 6,035.40 is: 9,028.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,429.06 : 9,616.92 = 6,035.40 : x
  2. Step 2: Convert to fraction form
    6,429.06/9,616.92 = 6,035.40/x
  3. Step 3: Cross multiply
    6,429.06x = 9,616.92 × 6,035.40
  4. Step 4: Simplify right side
    6,429.06x = 58,041,958.97
  5. Step 5: Solve for x
    x = 58,041,958.97/6,429.06
  6. Step 6: Final answer
    x = 9,028.06

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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.