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Finding the Fourth Proportional to 9,564.88, 13,194.12 and 6,028.96

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Solution

The fourth proportional to 9,564.88, 13,194.12 and 6,028.96 is: 8,316.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.88 : 13,194.12 = 6,028.96 : x
  2. Step 2: Convert to fraction form
    9,564.88/13,194.12 = 6,028.96/x
  3. Step 3: Cross multiply
    9,564.88x = 13,194.12 × 6,028.96
  4. Step 4: Simplify right side
    9,564.88x = 79,546,821.72
  5. Step 5: Solve for x
    x = 79,546,821.72/9,564.88
  6. Step 6: Final answer
    x = 8,316.55

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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.