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Finding the Fourth Proportional to 9,190.53, 12,683.05 and 4,998.78

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Solution

The fourth proportional to 9,190.53, 12,683.05 and 4,998.78 is: 6,898.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,190.53 : 12,683.05 = 4,998.78 : x
  2. Step 2: Convert to fraction form
    9,190.53/12,683.05 = 4,998.78/x
  3. Step 3: Cross multiply
    9,190.53x = 12,683.05 × 4,998.78
  4. Step 4: Simplify right side
    9,190.53x = 63,399,764.18
  5. Step 5: Solve for x
    x = 63,399,764.18/9,190.53
  6. Step 6: Final answer
    x = 6,898.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.