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Finding the Fourth Proportional to 9,164.51, 12,646.26 and 5,387.83

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Solution

The fourth proportional to 9,164.51, 12,646.26 and 5,387.83 is: 7,434.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.51 : 12,646.26 = 5,387.83 : x
  2. Step 2: Convert to fraction form
    9,164.51/12,646.26 = 5,387.83/x
  3. Step 3: Cross multiply
    9,164.51x = 12,646.26 × 5,387.83
  4. Step 4: Simplify right side
    9,164.51x = 68,135,938.54
  5. Step 5: Solve for x
    x = 68,135,938.54/9,164.51
  6. Step 6: Final answer
    x = 7,434.76

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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.