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Finding the Fourth Proportional to 9,085.64, 13,624.92 and 3,538.22

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Solution

The fourth proportional to 9,085.64, 13,624.92 and 3,538.22 is: 5,305.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,085.64 : 13,624.92 = 3,538.22 : x
  2. Step 2: Convert to fraction form
    9,085.64/13,624.92 = 3,538.22/x
  3. Step 3: Cross multiply
    9,085.64x = 13,624.92 × 3,538.22
  4. Step 4: Simplify right side
    9,085.64x = 48,207,896.32
  5. Step 5: Solve for x
    x = 48,207,896.32/9,085.64
  6. Step 6: Final answer
    x = 5,305.95

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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.