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Finding the Fourth Proportional to 9,558.72, 13,190.40 and 5,309.44

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Solution

The fourth proportional to 9,558.72, 13,190.40 and 5,309.44 is: 7,326.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,558.72 : 13,190.40 = 5,309.44 : x
  2. Step 2: Convert to fraction form
    9,558.72/13,190.40 = 5,309.44/x
  3. Step 3: Cross multiply
    9,558.72x = 13,190.40 × 5,309.44
  4. Step 4: Simplify right side
    9,558.72x = 70,033,637.38
  5. Step 5: Solve for x
    x = 70,033,637.38/9,558.72
  6. Step 6: Final answer
    x = 7,326.68

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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.