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Finding the Fourth Proportional to 9,485.96, 13,091.22 and 5,294.24

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Solution

The fourth proportional to 9,485.96, 13,091.22 and 5,294.24 is: 7,306.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,485.96 : 13,091.22 = 5,294.24 : x
  2. Step 2: Convert to fraction form
    9,485.96/13,091.22 = 5,294.24/x
  3. Step 3: Cross multiply
    9,485.96x = 13,091.22 × 5,294.24
  4. Step 4: Simplify right side
    9,485.96x = 69,308,060.57
  5. Step 5: Solve for x
    x = 69,308,060.57/9,485.96
  6. Step 6: Final answer
    x = 7,306.38

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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.