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Finding the Fourth Proportional to 9,933.66, 14,900.50 and 2,538.14

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Solution

The fourth proportional to 9,933.66, 14,900.50 and 2,538.14 is: 3,807.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,933.66 : 14,900.50 = 2,538.14 : x
  2. Step 2: Convert to fraction form
    9,933.66/14,900.50 = 2,538.14/x
  3. Step 3: Cross multiply
    9,933.66x = 14,900.50 × 2,538.14
  4. Step 4: Simplify right side
    9,933.66x = 37,819,555.07
  5. Step 5: Solve for x
    x = 37,819,555.07/9,933.66
  6. Step 6: Final answer
    x = 3,807.21

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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.