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Finding the Fourth Proportional to 9,693.61, 14,540.42 and 2,673.68

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Solution

The fourth proportional to 9,693.61, 14,540.42 and 2,673.68 is: 4,010.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,693.61 : 14,540.42 = 2,673.68 : x
  2. Step 2: Convert to fraction form
    9,693.61/14,540.42 = 2,673.68/x
  3. Step 3: Cross multiply
    9,693.61x = 14,540.42 × 2,673.68
  4. Step 4: Simplify right side
    9,693.61x = 38,876,416.78
  5. Step 5: Solve for x
    x = 38,876,416.78/9,693.61
  6. Step 6: Final answer
    x = 4,010.52

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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.