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Finding the Fourth Proportional to 9,771.18, 14,662.02 and 6,485.82

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Solution

The fourth proportional to 9,771.18, 14,662.02 and 6,485.82 is: 9,732.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.18 : 14,662.02 = 6,485.82 : x
  2. Step 2: Convert to fraction form
    9,771.18/14,662.02 = 6,485.82/x
  3. Step 3: Cross multiply
    9,771.18x = 14,662.02 × 6,485.82
  4. Step 4: Simplify right side
    9,771.18x = 95,095,222.56
  5. Step 5: Solve for x
    x = 95,095,222.56/9,771.18
  6. Step 6: Final answer
    x = 9,732.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.