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Finding the Fourth Proportional to 9,494.16, 13,102.05 and 5,245.30

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Solution

The fourth proportional to 9,494.16, 13,102.05 and 5,245.30 is: 7,238.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,494.16 : 13,102.05 = 5,245.30 : x
  2. Step 2: Convert to fraction form
    9,494.16/13,102.05 = 5,245.30/x
  3. Step 3: Cross multiply
    9,494.16x = 13,102.05 × 5,245.30
  4. Step 4: Simplify right side
    9,494.16x = 68,724,182.87
  5. Step 5: Solve for x
    x = 68,724,182.87/9,494.16
  6. Step 6: Final answer
    x = 7,238.57

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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.