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Finding the Fourth Proportional to 9,530, 13,157.16 and 6,223.76

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Solution

The fourth proportional to 9,530, 13,157.16 and 6,223.76 is: 8,592.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,530 : 13,157.16 = 6,223.76 : x
  2. Step 2: Convert to fraction form
    9,530/13,157.16 = 6,223.76/x
  3. Step 3: Cross multiply
    9,530x = 13,157.16 × 6,223.76
  4. Step 4: Simplify right side
    9,530x = 81,887,006.12
  5. Step 5: Solve for x
    x = 81,887,006.12/9,530
  6. Step 6: Final answer
    x = 8,592.55

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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.