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Finding the Fourth Proportional to 9,960.24, 13,745.56 and 5,981.68

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Solution

The fourth proportional to 9,960.24, 13,745.56 and 5,981.68 is: 8,254.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,960.24 : 13,745.56 = 5,981.68 : x
  2. Step 2: Convert to fraction form
    9,960.24/13,745.56 = 5,981.68/x
  3. Step 3: Cross multiply
    9,960.24x = 13,745.56 × 5,981.68
  4. Step 4: Simplify right side
    9,960.24x = 82,221,541.34
  5. Step 5: Solve for x
    x = 82,221,541.34/9,960.24
  6. Step 6: Final answer
    x = 8,254.98

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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.