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Finding the Fourth Proportional to 9,245.38, 13,848.45 and 8,584.42

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Solution

The fourth proportional to 9,245.38, 13,848.45 and 8,584.42 is: 12,858.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,245.38 : 13,848.45 = 8,584.42 : x
  2. Step 2: Convert to fraction form
    9,245.38/13,848.45 = 8,584.42/x
  3. Step 3: Cross multiply
    9,245.38x = 13,848.45 × 8,584.42
  4. Step 4: Simplify right side
    9,245.38x = 118,880,911.15
  5. Step 5: Solve for x
    x = 118,880,911.15/9,245.38
  6. Step 6: Final answer
    x = 12,858.41

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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.