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Finding the Fourth Proportional to 9,490.50, 14,236.16 and 2,917.62

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Solution

The fourth proportional to 9,490.50, 14,236.16 and 2,917.62 is: 4,376.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,490.50 : 14,236.16 = 2,917.62 : x
  2. Step 2: Convert to fraction form
    9,490.50/14,236.16 = 2,917.62/x
  3. Step 3: Cross multiply
    9,490.50x = 14,236.16 × 2,917.62
  4. Step 4: Simplify right side
    9,490.50x = 41,535,690.55
  5. Step 5: Solve for x
    x = 41,535,690.55/9,490.50
  6. Step 6: Final answer
    x = 4,376.55

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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.