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Finding the Fourth Proportional to 9,230.19, 13,774.65 and 8,245.23

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Solution

The fourth proportional to 9,230.19, 13,774.65 and 8,245.23 is: 12,304.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,230.19 : 13,774.65 = 8,245.23 : x
  2. Step 2: Convert to fraction form
    9,230.19/13,774.65 = 8,245.23/x
  3. Step 3: Cross multiply
    9,230.19x = 13,774.65 × 8,245.23
  4. Step 4: Simplify right side
    9,230.19x = 113,575,157.42
  5. Step 5: Solve for x
    x = 113,575,157.42/9,230.19
  6. Step 6: Final answer
    x = 12,304.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.