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Finding the Fourth Proportional to 9,538.61, 14,308.83 and 2,963.03

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Solution

The fourth proportional to 9,538.61, 14,308.83 and 2,963.03 is: 4,444.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,538.61 : 14,308.83 = 2,963.03 : x
  2. Step 2: Convert to fraction form
    9,538.61/14,308.83 = 2,963.03/x
  3. Step 3: Cross multiply
    9,538.61x = 14,308.83 × 2,963.03
  4. Step 4: Simplify right side
    9,538.61x = 42,397,528.33
  5. Step 5: Solve for x
    x = 42,397,528.33/9,538.61
  6. Step 6: Final answer
    x = 4,444.83

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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.