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Finding the Fourth Proportional to 9,407.98, 14,103.14 and 3,163.63

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Solution

The fourth proportional to 9,407.98, 14,103.14 and 3,163.63 is: 4,742.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,407.98 : 14,103.14 = 3,163.63 : x
  2. Step 2: Convert to fraction form
    9,407.98/14,103.14 = 3,163.63/x
  3. Step 3: Cross multiply
    9,407.98x = 14,103.14 × 3,163.63
  4. Step 4: Simplify right side
    9,407.98x = 44,617,046.28
  5. Step 5: Solve for x
    x = 44,617,046.28/9,407.98
  6. Step 6: Final answer
    x = 4,742.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.