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Finding the Fourth Proportional to 9,305.53, 13,959.77 and 3,382.94

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Solution

The fourth proportional to 9,305.53, 13,959.77 and 3,382.94 is: 5,074.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,305.53 : 13,959.77 = 3,382.94 : x
  2. Step 2: Convert to fraction form
    9,305.53/13,959.77 = 3,382.94/x
  3. Step 3: Cross multiply
    9,305.53x = 13,959.77 × 3,382.94
  4. Step 4: Simplify right side
    9,305.53x = 47,225,064.32
  5. Step 5: Solve for x
    x = 47,225,064.32/9,305.53
  6. Step 6: Final answer
    x = 5,074.95

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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.