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Finding the Fourth Proportional to 9,722.16, 14,584.32 and 3,147.12

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Solution

The fourth proportional to 9,722.16, 14,584.32 and 3,147.12 is: 4,721.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722.16 : 14,584.32 = 3,147.12 : x
  2. Step 2: Convert to fraction form
    9,722.16/14,584.32 = 3,147.12/x
  3. Step 3: Cross multiply
    9,722.16x = 14,584.32 × 3,147.12
  4. Step 4: Simplify right side
    9,722.16x = 45,898,605.16
  5. Step 5: Solve for x
    x = 45,898,605.16/9,722.16
  6. Step 6: Final answer
    x = 4,721.03

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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.