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Finding the Fourth Proportional to 9,739.70, 14,623.07 and 4,999.23

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Solution

The fourth proportional to 9,739.70, 14,623.07 and 4,999.23 is: 7,505.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,739.70 : 14,623.07 = 4,999.23 : x
  2. Step 2: Convert to fraction form
    9,739.70/14,623.07 = 4,999.23/x
  3. Step 3: Cross multiply
    9,739.70x = 14,623.07 × 4,999.23
  4. Step 4: Simplify right side
    9,739.70x = 73,104,090.24
  5. Step 5: Solve for x
    x = 73,104,090.24/9,739.70
  6. Step 6: Final answer
    x = 7,505.78

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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.