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Finding the Fourth Proportional to 9,213.24, 13,812.06 and 4,015.16

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Solution

The fourth proportional to 9,213.24, 13,812.06 and 4,015.16 is: 6,019.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,213.24 : 13,812.06 = 4,015.16 : x
  2. Step 2: Convert to fraction form
    9,213.24/13,812.06 = 4,015.16/x
  3. Step 3: Cross multiply
    9,213.24x = 13,812.06 × 4,015.16
  4. Step 4: Simplify right side
    9,213.24x = 55,457,630.83
  5. Step 5: Solve for x
    x = 55,457,630.83/9,213.24
  6. Step 6: Final answer
    x = 6,019.34

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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.