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Finding the Fourth Proportional to 9,383.25, 14,074.88 and 3,538.49

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Solution

The fourth proportional to 9,383.25, 14,074.88 and 3,538.49 is: 5,307.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,383.25 : 14,074.88 = 3,538.49 : x
  2. Step 2: Convert to fraction form
    9,383.25/14,074.88 = 3,538.49/x
  3. Step 3: Cross multiply
    9,383.25x = 14,074.88 × 3,538.49
  4. Step 4: Simplify right side
    9,383.25x = 49,803,839.63
  5. Step 5: Solve for x
    x = 49,803,839.63/9,383.25
  6. Step 6: Final answer
    x = 5,307.74

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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.