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Finding the Fourth Proportional to 7,214.53, 9,956.09 and 4,070.92

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Solution

The fourth proportional to 7,214.53, 9,956.09 and 4,070.92 is: 5,617.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,214.53 : 9,956.09 = 4,070.92 : x
  2. Step 2: Convert to fraction form
    7,214.53/9,956.09 = 4,070.92/x
  3. Step 3: Cross multiply
    7,214.53x = 9,956.09 × 4,070.92
  4. Step 4: Simplify right side
    7,214.53x = 40,530,445.90
  5. Step 5: Solve for x
    x = 40,530,445.90/7,214.53
  6. Step 6: Final answer
    x = 5,617.89

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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.