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Finding the Fourth Proportional to 9,664, 13,337.16 and 6,125.92

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Solution

The fourth proportional to 9,664, 13,337.16 and 6,125.92 is: 8,454.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,664 : 13,337.16 = 6,125.92 : x
  2. Step 2: Convert to fraction form
    9,664/13,337.16 = 6,125.92/x
  3. Step 3: Cross multiply
    9,664x = 13,337.16 × 6,125.92
  4. Step 4: Simplify right side
    9,664x = 81,702,375.19
  5. Step 5: Solve for x
    x = 81,702,375.19/9,664
  6. Step 6: Final answer
    x = 8,454.30

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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.