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Finding the Fourth Proportional to 9,734.92, 14,602.41 and 2,809.42

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Solution

The fourth proportional to 9,734.92, 14,602.41 and 2,809.42 is: 4,214.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,734.92 : 14,602.41 = 2,809.42 : x
  2. Step 2: Convert to fraction form
    9,734.92/14,602.41 = 2,809.42/x
  3. Step 3: Cross multiply
    9,734.92x = 14,602.41 × 2,809.42
  4. Step 4: Simplify right side
    9,734.92x = 41,024,266.20
  5. Step 5: Solve for x
    x = 41,024,266.20/9,734.92
  6. Step 6: Final answer
    x = 4,214.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.