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Finding the Fourth Proportional to 7,213.04, 9,956.48 and 4,229.84

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Solution

The fourth proportional to 7,213.04, 9,956.48 and 4,229.84 is: 5,838.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,213.04 : 9,956.48 = 4,229.84 : x
  2. Step 2: Convert to fraction form
    7,213.04/9,956.48 = 4,229.84/x
  3. Step 3: Cross multiply
    7,213.04x = 9,956.48 × 4,229.84
  4. Step 4: Simplify right side
    7,213.04x = 42,114,317.36
  5. Step 5: Solve for x
    x = 42,114,317.36/7,213.04
  6. Step 6: Final answer
    x = 5,838.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.