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Finding the Fourth Proportional to 9,583.80, 14,376.15 and 3,010.20

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Solution

The fourth proportional to 9,583.80, 14,376.15 and 3,010.20 is: 4,515.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,583.80 : 14,376.15 = 3,010.20 : x
  2. Step 2: Convert to fraction form
    9,583.80/14,376.15 = 3,010.20/x
  3. Step 3: Cross multiply
    9,583.80x = 14,376.15 × 3,010.20
  4. Step 4: Simplify right side
    9,583.80x = 43,275,086.73
  5. Step 5: Solve for x
    x = 43,275,086.73/9,583.80
  6. Step 6: Final answer
    x = 4,515.44

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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.