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Finding the Fourth Proportional to 9,641.91, 14,462.88 and 2,716.41

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Solution

The fourth proportional to 9,641.91, 14,462.88 and 2,716.41 is: 4,074.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,641.91 : 14,462.88 = 2,716.41 : x
  2. Step 2: Convert to fraction form
    9,641.91/14,462.88 = 2,716.41/x
  3. Step 3: Cross multiply
    9,641.91x = 14,462.88 × 2,716.41
  4. Step 4: Simplify right side
    9,641.91x = 39,287,111.86
  5. Step 5: Solve for x
    x = 39,287,111.86/9,641.91
  6. Step 6: Final answer
    x = 4,074.62

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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.