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Finding the Fourth Proportional to 9,193.92, 12,685.76 and 5,214.08

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Solution

The fourth proportional to 9,193.92, 12,685.76 and 5,214.08 is: 7,194.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,193.92 : 12,685.76 = 5,214.08 : x
  2. Step 2: Convert to fraction form
    9,193.92/12,685.76 = 5,214.08/x
  3. Step 3: Cross multiply
    9,193.92x = 12,685.76 × 5,214.08
  4. Step 4: Simplify right side
    9,193.92x = 66,144,567.50
  5. Step 5: Solve for x
    x = 66,144,567.50/9,193.92
  6. Step 6: Final answer
    x = 7,194.38

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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.