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Finding the Fourth Proportional to 9,890.10, 14,847.30 and 9,817.20

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Solution

The fourth proportional to 9,890.10, 14,847.30 and 9,817.20 is: 14,737.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,890.10 : 14,847.30 = 9,817.20 : x
  2. Step 2: Convert to fraction form
    9,890.10/14,847.30 = 9,817.20/x
  3. Step 3: Cross multiply
    9,890.10x = 14,847.30 × 9,817.20
  4. Step 4: Simplify right side
    9,890.10x = 145,758,913.56
  5. Step 5: Solve for x
    x = 145,758,913.56/9,890.10
  6. Step 6: Final answer
    x = 14,737.86

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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.