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Finding the Fourth Proportional to 9,523.26, 14,258.34 and 8,646.66

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Solution

The fourth proportional to 9,523.26, 14,258.34 and 8,646.66 is: 12,945.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,523.26 : 14,258.34 = 8,646.66 : x
  2. Step 2: Convert to fraction form
    9,523.26/14,258.34 = 8,646.66/x
  3. Step 3: Cross multiply
    9,523.26x = 14,258.34 × 8,646.66
  4. Step 4: Simplify right side
    9,523.26x = 123,287,018.14
  5. Step 5: Solve for x
    x = 123,287,018.14/9,523.26
  6. Step 6: Final answer
    x = 12,945.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.