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Finding the Fourth Proportional to 9,968.64, 14,953.02 and 3,043.14

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Solution

The fourth proportional to 9,968.64, 14,953.02 and 3,043.14 is: 4,564.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,968.64 : 14,953.02 = 3,043.14 : x
  2. Step 2: Convert to fraction form
    9,968.64/14,953.02 = 3,043.14/x
  3. Step 3: Cross multiply
    9,968.64x = 14,953.02 × 3,043.14
  4. Step 4: Simplify right side
    9,968.64x = 45,504,133.28
  5. Step 5: Solve for x
    x = 45,504,133.28/9,968.64
  6. Step 6: Final answer
    x = 4,564.73

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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.