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Finding the Fourth Proportional to 9,683.74, 14,545.05 and 8,463.88

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Solution

The fourth proportional to 9,683.74, 14,545.05 and 8,463.88 is: 12,712.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.74 : 14,545.05 = 8,463.88 : x
  2. Step 2: Convert to fraction form
    9,683.74/14,545.05 = 8,463.88/x
  3. Step 3: Cross multiply
    9,683.74x = 14,545.05 × 8,463.88
  4. Step 4: Simplify right side
    9,683.74x = 123,107,557.79
  5. Step 5: Solve for x
    x = 123,107,557.79/9,683.74
  6. Step 6: Final answer
    x = 12,712.81

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Why These Related Problems?

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