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Finding the Fourth Proportional to 7,131.25, 9,840.89 and 3,944.50

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Solution

The fourth proportional to 7,131.25, 9,840.89 and 3,944.50 is: 5,443.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,131.25 : 9,840.89 = 3,944.50 : x
  2. Step 2: Convert to fraction form
    7,131.25/9,840.89 = 3,944.50/x
  3. Step 3: Cross multiply
    7,131.25x = 9,840.89 × 3,944.50
  4. Step 4: Simplify right side
    7,131.25x = 38,817,390.61
  5. Step 5: Solve for x
    x = 38,817,390.61/7,131.25
  6. Step 6: Final answer
    x = 5,443.28

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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.