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Finding the Fourth Proportional to 9,341.91, 14,012.43 and 2,321.73

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Solution

The fourth proportional to 9,341.91, 14,012.43 and 2,321.73 is: 3,482.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,341.91 : 14,012.43 = 2,321.73 : x
  2. Step 2: Convert to fraction form
    9,341.91/14,012.43 = 2,321.73/x
  3. Step 3: Cross multiply
    9,341.91x = 14,012.43 × 2,321.73
  4. Step 4: Simplify right side
    9,341.91x = 32,533,079.10
  5. Step 5: Solve for x
    x = 32,533,079.10/9,341.91
  6. Step 6: Final answer
    x = 3,482.49

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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.