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Finding the Fourth Proportional to 9,728.01, 13,412.36 and 6,365.49

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Solution

The fourth proportional to 9,728.01, 13,412.36 and 6,365.49 is: 8,776.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,728.01 : 13,412.36 = 6,365.49 : x
  2. Step 2: Convert to fraction form
    9,728.01/13,412.36 = 6,365.49/x
  3. Step 3: Cross multiply
    9,728.01x = 13,412.36 × 6,365.49
  4. Step 4: Simplify right side
    9,728.01x = 85,376,211.63
  5. Step 5: Solve for x
    x = 85,376,211.63/9,728.01
  6. Step 6: Final answer
    x = 8,776.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.