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Finding the Fourth Proportional to 9,405.84, 12,979.92 and 5,214

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Solution

The fourth proportional to 9,405.84, 12,979.92 and 5,214 is: 7,195.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,405.84 : 12,979.92 = 5,214 : x
  2. Step 2: Convert to fraction form
    9,405.84/12,979.92 = 5,214/x
  3. Step 3: Cross multiply
    9,405.84x = 12,979.92 × 5,214
  4. Step 4: Simplify right side
    9,405.84x = 67,677,302.88
  5. Step 5: Solve for x
    x = 67,677,302.88/9,405.84
  6. Step 6: Final answer
    x = 7,195.24

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Why These Related Problems?

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