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Finding the Fourth Proportional to 6,174.48, 9,262.89 and 3,214.34

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Solution

The fourth proportional to 6,174.48, 9,262.89 and 3,214.34 is: 4,822.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,174.48 : 9,262.89 = 3,214.34 : x
  2. Step 2: Convert to fraction form
    6,174.48/9,262.89 = 3,214.34/x
  3. Step 3: Cross multiply
    6,174.48x = 9,262.89 × 3,214.34
  4. Step 4: Simplify right side
    6,174.48x = 29,774,031.53
  5. Step 5: Solve for x
    x = 29,774,031.53/6,174.48
  6. Step 6: Final answer
    x = 4,822.11

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