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Finding the Fourth Proportional to 9,835.74, 14,753.52 and 3,990.96

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Solution

The fourth proportional to 9,835.74, 14,753.52 and 3,990.96 is: 5,986.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,835.74 : 14,753.52 = 3,990.96 : x
  2. Step 2: Convert to fraction form
    9,835.74/14,753.52 = 3,990.96/x
  3. Step 3: Cross multiply
    9,835.74x = 14,753.52 × 3,990.96
  4. Step 4: Simplify right side
    9,835.74x = 58,880,708.18
  5. Step 5: Solve for x
    x = 58,880,708.18/9,835.74
  6. Step 6: Final answer
    x = 5,986.40

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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.