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Finding the Fourth Proportional to 7,191.25, 9,923.85 and 4,206.47

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Solution

The fourth proportional to 7,191.25, 9,923.85 and 4,206.47 is: 5,804.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,191.25 : 9,923.85 = 4,206.47 : x
  2. Step 2: Convert to fraction form
    7,191.25/9,923.85 = 4,206.47/x
  3. Step 3: Cross multiply
    7,191.25x = 9,923.85 × 4,206.47
  4. Step 4: Simplify right side
    7,191.25x = 41,744,327.69
  5. Step 5: Solve for x
    x = 41,744,327.69/7,191.25
  6. Step 6: Final answer
    x = 5,804.88

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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.