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Finding the Fourth Proportional to 9,846.16, 14,767.32 and 2,920.72

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Solution

The fourth proportional to 9,846.16, 14,767.32 and 2,920.72 is: 4,380.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,846.16 : 14,767.32 = 2,920.72 : x
  2. Step 2: Convert to fraction form
    9,846.16/14,767.32 = 2,920.72/x
  3. Step 3: Cross multiply
    9,846.16x = 14,767.32 × 2,920.72
  4. Step 4: Simplify right side
    9,846.16x = 43,131,206.87
  5. Step 5: Solve for x
    x = 43,131,206.87/9,846.16
  6. Step 6: Final answer
    x = 4,380.51

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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.