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Finding the Fourth Proportional to 9,636.77, 13,294.53 and 6,097.78

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Solution

The fourth proportional to 9,636.77, 13,294.53 and 6,097.78 is: 8,412.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,636.77 : 13,294.53 = 6,097.78 : x
  2. Step 2: Convert to fraction form
    9,636.77/13,294.53 = 6,097.78/x
  3. Step 3: Cross multiply
    9,636.77x = 13,294.53 × 6,097.78
  4. Step 4: Simplify right side
    9,636.77x = 81,067,135.76
  5. Step 5: Solve for x
    x = 81,067,135.76/9,636.77
  6. Step 6: Final answer
    x = 8,412.27

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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.