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Finding the Fourth Proportional to 6,647.90, 9,174.50 and 3,663.72

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Solution

The fourth proportional to 6,647.90, 9,174.50 and 3,663.72 is: 5,056.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,647.90 : 9,174.50 = 3,663.72 : x
  2. Step 2: Convert to fraction form
    6,647.90/9,174.50 = 3,663.72/x
  3. Step 3: Cross multiply
    6,647.90x = 9,174.50 × 3,663.72
  4. Step 4: Simplify right side
    6,647.90x = 33,612,780.82
  5. Step 5: Solve for x
    x = 33,612,780.82/6,647.90
  6. Step 6: Final answer
    x = 5,056.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.