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Finding the Fourth Proportional to 7,699.44, 11,537.76 and 6,322.44

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Solution

The fourth proportional to 7,699.44, 11,537.76 and 6,322.44 is: 9,474.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,699.44 : 11,537.76 = 6,322.44 : x
  2. Step 2: Convert to fraction form
    7,699.44/11,537.76 = 6,322.44/x
  3. Step 3: Cross multiply
    7,699.44x = 11,537.76 × 6,322.44
  4. Step 4: Simplify right side
    7,699.44x = 72,946,795.33
  5. Step 5: Solve for x
    x = 72,946,795.33/7,699.44
  6. Step 6: Final answer
    x = 9,474.30

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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.