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Finding the Fourth Proportional to 9,962.80, 14,944.02 and 3,037.30

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Solution

The fourth proportional to 9,962.80, 14,944.02 and 3,037.30 is: 4,555.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,962.80 : 14,944.02 = 3,037.30 : x
  2. Step 2: Convert to fraction form
    9,962.80/14,944.02 = 3,037.30/x
  3. Step 3: Cross multiply
    9,962.80x = 14,944.02 × 3,037.30
  4. Step 4: Simplify right side
    9,962.80x = 45,389,471.95
  5. Step 5: Solve for x
    x = 45,389,471.95/9,962.80
  6. Step 6: Final answer
    x = 4,555.90

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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.