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Finding the Fourth Proportional to 9,491.96, 14,232.16 and 4,872.44

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Solution

The fourth proportional to 9,491.96, 14,232.16 and 4,872.44 is: 7,305.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,491.96 : 14,232.16 = 4,872.44 : x
  2. Step 2: Convert to fraction form
    9,491.96/14,232.16 = 4,872.44/x
  3. Step 3: Cross multiply
    9,491.96x = 14,232.16 × 4,872.44
  4. Step 4: Simplify right side
    9,491.96x = 69,345,345.67
  5. Step 5: Solve for x
    x = 69,345,345.67/9,491.96
  6. Step 6: Final answer
    x = 7,305.69

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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.