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Finding the Fourth Proportional to 9,859.98, 14,790.20 and 3,286.70

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Solution

The fourth proportional to 9,859.98, 14,790.20 and 3,286.70 is: 4,930.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,859.98 : 14,790.20 = 3,286.70 : x
  2. Step 2: Convert to fraction form
    9,859.98/14,790.20 = 3,286.70/x
  3. Step 3: Cross multiply
    9,859.98x = 14,790.20 × 3,286.70
  4. Step 4: Simplify right side
    9,859.98x = 48,610,950.34
  5. Step 5: Solve for x
    x = 48,610,950.34/9,859.98
  6. Step 6: Final answer
    x = 4,930.13

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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.