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Finding the Fourth Proportional to 9,147.64, 13,713.14 and 3,302.88

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Solution

The fourth proportional to 9,147.64, 13,713.14 and 3,302.88 is: 4,951.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,147.64 : 13,713.14 = 3,302.88 : x
  2. Step 2: Convert to fraction form
    9,147.64/13,713.14 = 3,302.88/x
  3. Step 3: Cross multiply
    9,147.64x = 13,713.14 × 3,302.88
  4. Step 4: Simplify right side
    9,147.64x = 45,292,839.33
  5. Step 5: Solve for x
    x = 45,292,839.33/9,147.64
  6. Step 6: Final answer
    x = 4,951.32

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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.