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Finding the Fourth Proportional to 9,340.10, 14,022.30 and 7,493.30

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Solution

The fourth proportional to 9,340.10, 14,022.30 and 7,493.30 is: 11,249.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,340.10 : 14,022.30 = 7,493.30 : x
  2. Step 2: Convert to fraction form
    9,340.10/14,022.30 = 7,493.30/x
  3. Step 3: Cross multiply
    9,340.10x = 14,022.30 × 7,493.30
  4. Step 4: Simplify right side
    9,340.10x = 105,073,300.59
  5. Step 5: Solve for x
    x = 105,073,300.59/9,340.10
  6. Step 6: Final answer
    x = 11,249.70

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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.