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Finding the Fourth Proportional to 7,212.56, 9,952.65 and 4,186.87

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Solution

The fourth proportional to 7,212.56, 9,952.65 and 4,186.87 is: 5,777.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,212.56 : 9,952.65 = 4,186.87 : x
  2. Step 2: Convert to fraction form
    7,212.56/9,952.65 = 4,186.87/x
  3. Step 3: Cross multiply
    7,212.56x = 9,952.65 × 4,186.87
  4. Step 4: Simplify right side
    7,212.56x = 41,670,426.82
  5. Step 5: Solve for x
    x = 41,670,426.82/7,212.56
  6. Step 6: Final answer
    x = 5,777.48

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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.