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Finding the Fourth Proportional to 9,379.17, 14,056.44 and 6,902.37

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Solution

The fourth proportional to 9,379.17, 14,056.44 and 6,902.37 is: 10,344.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,379.17 : 14,056.44 = 6,902.37 : x
  2. Step 2: Convert to fraction form
    9,379.17/14,056.44 = 6,902.37/x
  3. Step 3: Cross multiply
    9,379.17x = 14,056.44 × 6,902.37
  4. Step 4: Simplify right side
    9,379.17x = 97,022,749.76
  5. Step 5: Solve for x
    x = 97,022,749.76/9,379.17
  6. Step 6: Final answer
    x = 10,344.49

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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.