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Finding the Fourth Proportional to 9,866.10, 14,835.60 and 8,262.30

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Solution

The fourth proportional to 9,866.10, 14,835.60 and 8,262.30 is: 12,423.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,866.10 : 14,835.60 = 8,262.30 : x
  2. Step 2: Convert to fraction form
    9,866.10/14,835.60 = 8,262.30/x
  3. Step 3: Cross multiply
    9,866.10x = 14,835.60 × 8,262.30
  4. Step 4: Simplify right side
    9,866.10x = 122,576,177.88
  5. Step 5: Solve for x
    x = 122,576,177.88/9,866.10
  6. Step 6: Final answer
    x = 12,423.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.