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Finding the Fourth Proportional to 9,342.76, 14,014.14 and 2,769.04

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Solution

The fourth proportional to 9,342.76, 14,014.14 and 2,769.04 is: 4,153.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,342.76 : 14,014.14 = 2,769.04 : x
  2. Step 2: Convert to fraction form
    9,342.76/14,014.14 = 2,769.04/x
  3. Step 3: Cross multiply
    9,342.76x = 14,014.14 × 2,769.04
  4. Step 4: Simplify right side
    9,342.76x = 38,805,714.23
  5. Step 5: Solve for x
    x = 38,805,714.23/9,342.76
  6. Step 6: Final answer
    x = 4,153.56

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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.