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Finding the Fourth Proportional to 9,701.92, 14,550.72 and 3,856.96

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Solution

The fourth proportional to 9,701.92, 14,550.72 and 3,856.96 is: 5,784.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,701.92 : 14,550.72 = 3,856.96 : x
  2. Step 2: Convert to fraction form
    9,701.92/14,550.72 = 3,856.96/x
  3. Step 3: Cross multiply
    9,701.92x = 14,550.72 × 3,856.96
  4. Step 4: Simplify right side
    9,701.92x = 56,121,545.01
  5. Step 5: Solve for x
    x = 56,121,545.01/9,701.92
  6. Step 6: Final answer
    x = 5,784.58

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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.