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Finding the Fourth Proportional to 9,420.98, 14,134.06 and 4,160.18

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Solution

The fourth proportional to 9,420.98, 14,134.06 and 4,160.18 is: 6,241.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,420.98 : 14,134.06 = 4,160.18 : x
  2. Step 2: Convert to fraction form
    9,420.98/14,134.06 = 4,160.18/x
  3. Step 3: Cross multiply
    9,420.98x = 14,134.06 × 4,160.18
  4. Step 4: Simplify right side
    9,420.98x = 58,800,233.73
  5. Step 5: Solve for x
    x = 58,800,233.73/9,420.98
  6. Step 6: Final answer
    x = 6,241.41

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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.