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Finding the Fourth Proportional to 9,164.78, 13,716.02 and 5,657.02

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Solution

The fourth proportional to 9,164.78, 13,716.02 and 5,657.02 is: 8,466.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.78 : 13,716.02 = 5,657.02 : x
  2. Step 2: Convert to fraction form
    9,164.78/13,716.02 = 5,657.02/x
  3. Step 3: Cross multiply
    9,164.78x = 13,716.02 × 5,657.02
  4. Step 4: Simplify right side
    9,164.78x = 77,591,799.46
  5. Step 5: Solve for x
    x = 77,591,799.46/9,164.78
  6. Step 6: Final answer
    x = 8,466.30

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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.