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Finding the Fourth Proportional to 9,941.92, 14,915.44 and 3,016.48

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Solution

The fourth proportional to 9,941.92, 14,915.44 and 3,016.48 is: 4,525.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,941.92 : 14,915.44 = 3,016.48 : x
  2. Step 2: Convert to fraction form
    9,941.92/14,915.44 = 3,016.48/x
  3. Step 3: Cross multiply
    9,941.92x = 14,915.44 × 3,016.48
  4. Step 4: Simplify right side
    9,941.92x = 44,992,126.45
  5. Step 5: Solve for x
    x = 44,992,126.45/9,941.92
  6. Step 6: Final answer
    x = 4,525.50

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Why These Related Problems?

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