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Finding the Fourth Proportional to 7,647.69, 11,471.55 and 6,159.96

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Solution

The fourth proportional to 7,647.69, 11,471.55 and 6,159.96 is: 9,239.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647.69 : 11,471.55 = 6,159.96 : x
  2. Step 2: Convert to fraction form
    7,647.69/11,471.55 = 6,159.96/x
  3. Step 3: Cross multiply
    7,647.69x = 11,471.55 × 6,159.96
  4. Step 4: Simplify right side
    7,647.69x = 70,664,289.14
  5. Step 5: Solve for x
    x = 70,664,289.14/7,647.69
  6. Step 6: Final answer
    x = 9,239.95

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