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Finding the Fourth Proportional to 7,147.50, 9,867.87 and 4,667.82

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Solution

The fourth proportional to 7,147.50, 9,867.87 and 4,667.82 is: 6,444.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,147.50 : 9,867.87 = 4,667.82 : x
  2. Step 2: Convert to fraction form
    7,147.50/9,867.87 = 4,667.82/x
  3. Step 3: Cross multiply
    7,147.50x = 9,867.87 × 4,667.82
  4. Step 4: Simplify right side
    7,147.50x = 46,061,440.94
  5. Step 5: Solve for x
    x = 46,061,440.94/7,147.50
  6. Step 6: Final answer
    x = 6,444.41

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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.