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Finding the Fourth Proportional to 9,592.53, 14,388.44 and 6,769.78

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Solution

The fourth proportional to 9,592.53, 14,388.44 and 6,769.78 is: 10,154.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,592.53 : 14,388.44 = 6,769.78 : x
  2. Step 2: Convert to fraction form
    9,592.53/14,388.44 = 6,769.78/x
  3. Step 3: Cross multiply
    9,592.53x = 14,388.44 × 6,769.78
  4. Step 4: Simplify right side
    9,592.53x = 97,406,503.52
  5. Step 5: Solve for x
    x = 97,406,503.52/9,592.53
  6. Step 6: Final answer
    x = 10,154.42

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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.