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Finding the Fourth Proportional to 9,505.86, 14,248.89 and 3,578.68

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Solution

The fourth proportional to 9,505.86, 14,248.89 and 3,578.68 is: 5,364.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,505.86 : 14,248.89 = 3,578.68 : x
  2. Step 2: Convert to fraction form
    9,505.86/14,248.89 = 3,578.68/x
  3. Step 3: Cross multiply
    9,505.86x = 14,248.89 × 3,578.68
  4. Step 4: Simplify right side
    9,505.86x = 50,992,146.42
  5. Step 5: Solve for x
    x = 50,992,146.42/9,505.86
  6. Step 6: Final answer
    x = 5,364.29

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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.