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Finding the Fourth Proportional to 9,391.27, 12,958.38 and 5,615.98

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Solution

The fourth proportional to 9,391.27, 12,958.38 and 5,615.98 is: 7,749.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,391.27 : 12,958.38 = 5,615.98 : x
  2. Step 2: Convert to fraction form
    9,391.27/12,958.38 = 5,615.98/x
  3. Step 3: Cross multiply
    9,391.27x = 12,958.38 × 5,615.98
  4. Step 4: Simplify right side
    9,391.27x = 72,774,002.91
  5. Step 5: Solve for x
    x = 72,774,002.91/9,391.27
  6. Step 6: Final answer
    x = 7,749.11

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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.