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Finding the Fourth Proportional to 9,174.34, 13,753.14 and 3,329.66

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Solution

The fourth proportional to 9,174.34, 13,753.14 and 3,329.66 is: 4,991.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,174.34 : 13,753.14 = 3,329.66 : x
  2. Step 2: Convert to fraction form
    9,174.34/13,753.14 = 3,329.66/x
  3. Step 3: Cross multiply
    9,174.34x = 13,753.14 × 3,329.66
  4. Step 4: Simplify right side
    9,174.34x = 45,793,280.13
  5. Step 5: Solve for x
    x = 45,793,280.13/9,174.34
  6. Step 6: Final answer
    x = 4,991.45

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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.