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Finding the Fourth Proportional to 9,252.92, 13,883.94 and 5,741.98

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Solution

The fourth proportional to 9,252.92, 13,883.94 and 5,741.98 is: 8,615.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,252.92 : 13,883.94 = 5,741.98 : x
  2. Step 2: Convert to fraction form
    9,252.92/13,883.94 = 5,741.98/x
  3. Step 3: Cross multiply
    9,252.92x = 13,883.94 × 5,741.98
  4. Step 4: Simplify right side
    9,252.92x = 79,721,271.09
  5. Step 5: Solve for x
    x = 79,721,271.09/9,252.92
  6. Step 6: Final answer
    x = 8,615.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.