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Finding the Fourth Proportional to 9,539.38, 14,305.02 and 5,155.66

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Solution

The fourth proportional to 9,539.38, 14,305.02 and 5,155.66 is: 7,731.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,539.38 : 14,305.02 = 5,155.66 : x
  2. Step 2: Convert to fraction form
    9,539.38/14,305.02 = 5,155.66/x
  3. Step 3: Cross multiply
    9,539.38x = 14,305.02 × 5,155.66
  4. Step 4: Simplify right side
    9,539.38x = 73,751,819.41
  5. Step 5: Solve for x
    x = 73,751,819.41/9,539.38
  6. Step 6: Final answer
    x = 7,731.30

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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.