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Finding the Fourth Proportional to 9,740, 14,610.08 and 2,814.56

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Solution

The fourth proportional to 9,740, 14,610.08 and 2,814.56 is: 4,221.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,740 : 14,610.08 = 2,814.56 : x
  2. Step 2: Convert to fraction form
    9,740/14,610.08 = 2,814.56/x
  3. Step 3: Cross multiply
    9,740x = 14,610.08 × 2,814.56
  4. Step 4: Simplify right side
    9,740x = 41,120,946.76
  5. Step 5: Solve for x
    x = 41,120,946.76/9,740
  6. Step 6: Final answer
    x = 4,221.86

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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.