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Finding the Fourth Proportional to 9,461.80, 14,169.66 and 6,374.44

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Solution

The fourth proportional to 9,461.80, 14,169.66 and 6,374.44 is: 9,546.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,461.80 : 14,169.66 = 6,374.44 : x
  2. Step 2: Convert to fraction form
    9,461.80/14,169.66 = 6,374.44/x
  3. Step 3: Cross multiply
    9,461.80x = 14,169.66 × 6,374.44
  4. Step 4: Simplify right side
    9,461.80x = 90,323,647.49
  5. Step 5: Solve for x
    x = 90,323,647.49/9,461.80
  6. Step 6: Final answer
    x = 9,546.14

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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.