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Finding the Fourth Proportional to 9,490.48, 14,236.56 and 2,470.48

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Solution

The fourth proportional to 9,490.48, 14,236.56 and 2,470.48 is: 3,705.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,490.48 : 14,236.56 = 2,470.48 : x
  2. Step 2: Convert to fraction form
    9,490.48/14,236.56 = 2,470.48/x
  3. Step 3: Cross multiply
    9,490.48x = 14,236.56 × 2,470.48
  4. Step 4: Simplify right side
    9,490.48x = 35,171,136.75
  5. Step 5: Solve for x
    x = 35,171,136.75/9,490.48
  6. Step 6: Final answer
    x = 3,705.94

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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.