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Finding the Fourth Proportional to 9,695.41, 14,539.53 and 3,453.77

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Solution

The fourth proportional to 9,695.41, 14,539.53 and 3,453.77 is: 5,179.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,695.41 : 14,539.53 = 3,453.77 : x
  2. Step 2: Convert to fraction form
    9,695.41/14,539.53 = 3,453.77/x
  3. Step 3: Cross multiply
    9,695.41x = 14,539.53 × 3,453.77
  4. Step 4: Simplify right side
    9,695.41x = 50,216,136.30
  5. Step 5: Solve for x
    x = 50,216,136.30/9,695.41
  6. Step 6: Final answer
    x = 5,179.37

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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.