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Finding the Fourth Proportional to 9,764.01, 13,476.56 and 6,355.04

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Solution

The fourth proportional to 9,764.01, 13,476.56 and 6,355.04 is: 8,771.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,764.01 : 13,476.56 = 6,355.04 : x
  2. Step 2: Convert to fraction form
    9,764.01/13,476.56 = 6,355.04/x
  3. Step 3: Cross multiply
    9,764.01x = 13,476.56 × 6,355.04
  4. Step 4: Simplify right side
    9,764.01x = 85,643,978.70
  5. Step 5: Solve for x
    x = 85,643,978.70/9,764.01
  6. Step 6: Final answer
    x = 8,771.39

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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.