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Finding the Fourth Proportional to 9,844.14, 14,755.76 and 4,839.45

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Solution

The fourth proportional to 9,844.14, 14,755.76 and 4,839.45 is: 7,254.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,844.14 : 14,755.76 = 4,839.45 : x
  2. Step 2: Convert to fraction form
    9,844.14/14,755.76 = 4,839.45/x
  3. Step 3: Cross multiply
    9,844.14x = 14,755.76 × 4,839.45
  4. Step 4: Simplify right side
    9,844.14x = 71,409,762.73
  5. Step 5: Solve for x
    x = 71,409,762.73/9,844.14
  6. Step 6: Final answer
    x = 7,254.04

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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.