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Finding the Fourth Proportional to 9,164.25, 12,646.70 and 5,627.43

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Solution

The fourth proportional to 9,164.25, 12,646.70 and 5,627.43 is: 7,765.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.25 : 12,646.70 = 5,627.43 : x
  2. Step 2: Convert to fraction form
    9,164.25/12,646.70 = 5,627.43/x
  3. Step 3: Cross multiply
    9,164.25x = 12,646.70 × 5,627.43
  4. Step 4: Simplify right side
    9,164.25x = 71,168,390.84
  5. Step 5: Solve for x
    x = 71,168,390.84/9,164.25
  6. Step 6: Final answer
    x = 7,765.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.