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Finding the Fourth Proportional to 9,834.24, 14,752.18 and 3,990.90

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Solution

The fourth proportional to 9,834.24, 14,752.18 and 3,990.90 is: 5,986.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,834.24 : 14,752.18 = 3,990.90 : x
  2. Step 2: Convert to fraction form
    9,834.24/14,752.18 = 3,990.90/x
  3. Step 3: Cross multiply
    9,834.24x = 14,752.18 × 3,990.90
  4. Step 4: Simplify right side
    9,834.24x = 58,874,475.16
  5. Step 5: Solve for x
    x = 58,874,475.16/9,834.24
  6. Step 6: Final answer
    x = 5,986.68

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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.