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Finding the Fourth Proportional to 9,405.92, 12,980.76 and 5,214.17

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Solution

The fourth proportional to 9,405.92, 12,980.76 and 5,214.17 is: 7,195.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,405.92 : 12,980.76 = 5,214.17 : x
  2. Step 2: Convert to fraction form
    9,405.92/12,980.76 = 5,214.17/x
  3. Step 3: Cross multiply
    9,405.92x = 12,980.76 × 5,214.17
  4. Step 4: Simplify right side
    9,405.92x = 67,683,902.27
  5. Step 5: Solve for x
    x = 67,683,902.27/9,405.92
  6. Step 6: Final answer
    x = 7,195.88

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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.