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Finding the Fourth Proportional to 8,964.16, 13,447.68 and 3,771.52

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Solution

The fourth proportional to 8,964.16, 13,447.68 and 3,771.52 is: 5,657.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,964.16 : 13,447.68 = 3,771.52 : x
  2. Step 2: Convert to fraction form
    8,964.16/13,447.68 = 3,771.52/x
  3. Step 3: Cross multiply
    8,964.16x = 13,447.68 × 3,771.52
  4. Step 4: Simplify right side
    8,964.16x = 50,718,194.07
  5. Step 5: Solve for x
    x = 50,718,194.07/8,964.16
  6. Step 6: Final answer
    x = 5,657.89

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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.