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Finding the Fourth Proportional to 9,171.99, 12,657.69 and 5,636.34

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Solution

The fourth proportional to 9,171.99, 12,657.69 and 5,636.34 is: 7,778.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,171.99 : 12,657.69 = 5,636.34 : x
  2. Step 2: Convert to fraction form
    9,171.99/12,657.69 = 5,636.34/x
  3. Step 3: Cross multiply
    9,171.99x = 12,657.69 × 5,636.34
  4. Step 4: Simplify right side
    9,171.99x = 71,343,044.45
  5. Step 5: Solve for x
    x = 71,343,044.45/9,171.99
  6. Step 6: Final answer
    x = 7,778.36

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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.