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Finding the Fourth Proportional to 7,244.82, 9,999.48 and 4,102.02

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Solution

The fourth proportional to 7,244.82, 9,999.48 and 4,102.02 is: 5,661.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,244.82 : 9,999.48 = 4,102.02 : x
  2. Step 2: Convert to fraction form
    7,244.82/9,999.48 = 4,102.02/x
  3. Step 3: Cross multiply
    7,244.82x = 9,999.48 × 4,102.02
  4. Step 4: Simplify right side
    7,244.82x = 41,018,066.95
  5. Step 5: Solve for x
    x = 41,018,066.95/7,244.82
  6. Step 6: Final answer
    x = 5,661.71

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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.