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Finding the Fourth Proportional to 9,999.24, 13,798.89 and 6,019.50

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Solution

The fourth proportional to 9,999.24, 13,798.89 and 6,019.50 is: 8,306.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,999.24 : 13,798.89 = 6,019.50 : x
  2. Step 2: Convert to fraction form
    9,999.24/13,798.89 = 6,019.50/x
  3. Step 3: Cross multiply
    9,999.24x = 13,798.89 × 6,019.50
  4. Step 4: Simplify right side
    9,999.24x = 83,062,418.36
  5. Step 5: Solve for x
    x = 83,062,418.36/9,999.24
  6. Step 6: Final answer
    x = 8,306.87

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