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Finding the Fourth Proportional to 9,402.96, 14,077.02 and 8,149.77

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Solution

The fourth proportional to 9,402.96, 14,077.02 and 8,149.77 is: 12,200.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,402.96 : 14,077.02 = 8,149.77 : x
  2. Step 2: Convert to fraction form
    9,402.96/14,077.02 = 8,149.77/x
  3. Step 3: Cross multiply
    9,402.96x = 14,077.02 × 8,149.77
  4. Step 4: Simplify right side
    9,402.96x = 114,724,475.29
  5. Step 5: Solve for x
    x = 114,724,475.29/9,402.96
  6. Step 6: Final answer
    x = 12,200.89

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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.