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Finding the Fourth Proportional to 9,245, 13,849.16 and 4,307.84

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Solution

The fourth proportional to 9,245, 13,849.16 and 4,307.84 is: 6,453.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,245 : 13,849.16 = 4,307.84 : x
  2. Step 2: Convert to fraction form
    9,245/13,849.16 = 4,307.84/x
  3. Step 3: Cross multiply
    9,245x = 13,849.16 × 4,307.84
  4. Step 4: Simplify right side
    9,245x = 59,659,965.41
  5. Step 5: Solve for x
    x = 59,659,965.41/9,245
  6. Step 6: Final answer
    x = 6,453.21

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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.