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Finding the Fourth Proportional to 10,453.75, 15,737.66 and 9,535.21

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Solution

The fourth proportional to 10,453.75, 15,737.66 and 9,535.21 is: 14,354.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,453.75 : 15,737.66 = 9,535.21 : x
  2. Step 2: Convert to fraction form
    10,453.75/15,737.66 = 9,535.21/x
  3. Step 3: Cross multiply
    10,453.75x = 15,737.66 × 9,535.21
  4. Step 4: Simplify right side
    10,453.75x = 150,061,893.01
  5. Step 5: Solve for x
    x = 150,061,893.01/10,453.75
  6. Step 6: Final answer
    x = 14,354.84

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.