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Finding the Fourth Proportional to 9,234, 13,852.20 and 3,390.66

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Solution

The fourth proportional to 9,234, 13,852.20 and 3,390.66 is: 5,086.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,234 : 13,852.20 = 3,390.66 : x
  2. Step 2: Convert to fraction form
    9,234/13,852.20 = 3,390.66/x
  3. Step 3: Cross multiply
    9,234x = 13,852.20 × 3,390.66
  4. Step 4: Simplify right side
    9,234x = 46,968,100.45
  5. Step 5: Solve for x
    x = 46,968,100.45/9,234
  6. Step 6: Final answer
    x = 5,086.43

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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.