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Finding the Fourth Proportional to 9,865.72, 14,769.86 and 8,487.91

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Solution

The fourth proportional to 9,865.72, 14,769.86 and 8,487.91 is: 12,707.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,865.72 : 14,769.86 = 8,487.91 : x
  2. Step 2: Convert to fraction form
    9,865.72/14,769.86 = 8,487.91/x
  3. Step 3: Cross multiply
    9,865.72x = 14,769.86 × 8,487.91
  4. Step 4: Simplify right side
    9,865.72x = 125,365,226.69
  5. Step 5: Solve for x
    x = 125,365,226.69/9,865.72
  6. Step 6: Final answer
    x = 12,707.16

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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.