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Finding the Fourth Proportional to 9,085.88, 13,625.30 and 3,538.46

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Solution

The fourth proportional to 9,085.88, 13,625.30 and 3,538.46 is: 5,306.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,085.88 : 13,625.30 = 3,538.46 : x
  2. Step 2: Convert to fraction form
    9,085.88/13,625.30 = 3,538.46/x
  3. Step 3: Cross multiply
    9,085.88x = 13,625.30 × 3,538.46
  4. Step 4: Simplify right side
    9,085.88x = 48,212,579.04
  5. Step 5: Solve for x
    x = 48,212,579.04/9,085.88
  6. Step 6: Final answer
    x = 5,306.32

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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.