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Finding the Fourth Proportional to 9,615.92, 14,424.88 and 3,992.95

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Solution

The fourth proportional to 9,615.92, 14,424.88 and 3,992.95 is: 5,989.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,615.92 : 14,424.88 = 3,992.95 : x
  2. Step 2: Convert to fraction form
    9,615.92/14,424.88 = 3,992.95/x
  3. Step 3: Cross multiply
    9,615.92x = 14,424.88 × 3,992.95
  4. Step 4: Simplify right side
    9,615.92x = 57,597,752.47
  5. Step 5: Solve for x
    x = 57,597,752.47/9,615.92
  6. Step 6: Final answer
    x = 5,989.84

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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.