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Finding the Fourth Proportional to 9,212.42, 12,713.63 and 5,437.77

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Solution

The fourth proportional to 9,212.42, 12,713.63 and 5,437.77 is: 7,504.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,212.42 : 12,713.63 = 5,437.77 : x
  2. Step 2: Convert to fraction form
    9,212.42/12,713.63 = 5,437.77/x
  3. Step 3: Cross multiply
    9,212.42x = 12,713.63 × 5,437.77
  4. Step 4: Simplify right side
    9,212.42x = 69,133,768.62
  5. Step 5: Solve for x
    x = 69,133,768.62/9,212.42
  6. Step 6: Final answer
    x = 7,504.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.