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Finding the Fourth Proportional to 9,154.33, 12,643.34 and 6,164.97

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Solution

The fourth proportional to 9,154.33, 12,643.34 and 6,164.97 is: 8,514.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,154.33 : 12,643.34 = 6,164.97 : x
  2. Step 2: Convert to fraction form
    9,154.33/12,643.34 = 6,164.97/x
  3. Step 3: Cross multiply
    9,154.33x = 12,643.34 × 6,164.97
  4. Step 4: Simplify right side
    9,154.33x = 77,945,811.80
  5. Step 5: Solve for x
    x = 77,945,811.80/9,154.33
  6. Step 6: Final answer
    x = 8,514.64

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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.