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Finding the Fourth Proportional to 9,407.48, 14,113.22 and 3,563.96

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Solution

The fourth proportional to 9,407.48, 14,113.22 and 3,563.96 is: 5,346.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,407.48 : 14,113.22 = 3,563.96 : x
  2. Step 2: Convert to fraction form
    9,407.48/14,113.22 = 3,563.96/x
  3. Step 3: Cross multiply
    9,407.48x = 14,113.22 × 3,563.96
  4. Step 4: Simplify right side
    9,407.48x = 50,298,951.55
  5. Step 5: Solve for x
    x = 50,298,951.55/9,407.48
  6. Step 6: Final answer
    x = 5,346.70

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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.