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Finding the Fourth Proportional to 9,509.92, 14,265.88 and 2,491.04

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Solution

The fourth proportional to 9,509.92, 14,265.88 and 2,491.04 is: 3,736.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.92 : 14,265.88 = 2,491.04 : x
  2. Step 2: Convert to fraction form
    9,509.92/14,265.88 = 2,491.04/x
  3. Step 3: Cross multiply
    9,509.92x = 14,265.88 × 2,491.04
  4. Step 4: Simplify right side
    9,509.92x = 35,536,877.72
  5. Step 5: Solve for x
    x = 35,536,877.72/9,509.92
  6. Step 6: Final answer
    x = 3,736.82

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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.