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Finding the Fourth Proportional to 7,245.51, 9,999.36 and 4,102.17

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Solution

The fourth proportional to 7,245.51, 9,999.36 and 4,102.17 is: 5,661.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,245.51 : 9,999.36 = 4,102.17 : x
  2. Step 2: Convert to fraction form
    7,245.51/9,999.36 = 4,102.17/x
  3. Step 3: Cross multiply
    7,245.51x = 9,999.36 × 4,102.17
  4. Step 4: Simplify right side
    7,245.51x = 41,019,074.61
  5. Step 5: Solve for x
    x = 41,019,074.61/7,245.51
  6. Step 6: Final answer
    x = 5,661.31

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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.