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Finding the Fourth Proportional to 9,511.53, 14,256.90 and 3,265.62

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Solution

The fourth proportional to 9,511.53, 14,256.90 and 3,265.62 is: 4,894.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,511.53 : 14,256.90 = 3,265.62 : x
  2. Step 2: Convert to fraction form
    9,511.53/14,256.90 = 3,265.62/x
  3. Step 3: Cross multiply
    9,511.53x = 14,256.90 × 3,265.62
  4. Step 4: Simplify right side
    9,511.53x = 46,557,617.78
  5. Step 5: Solve for x
    x = 46,557,617.78/9,511.53
  6. Step 6: Final answer
    x = 4,894.86

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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.