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Finding the Fourth Proportional to 9,305.12, 13,959.83 and 3,064.90

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Solution

The fourth proportional to 9,305.12, 13,959.83 and 3,064.90 is: 4,598.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,305.12 : 13,959.83 = 3,064.90 : x
  2. Step 2: Convert to fraction form
    9,305.12/13,959.83 = 3,064.90/x
  3. Step 3: Cross multiply
    9,305.12x = 13,959.83 × 3,064.90
  4. Step 4: Simplify right side
    9,305.12x = 42,785,517.87
  5. Step 5: Solve for x
    x = 42,785,517.87/9,305.12
  6. Step 6: Final answer
    x = 4,598.06

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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.