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Finding the Fourth Proportional to 9,241.38, 13,842.45 and 8,580.42

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Solution

The fourth proportional to 9,241.38, 13,842.45 and 8,580.42 is: 12,852.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,241.38 : 13,842.45 = 8,580.42 : x
  2. Step 2: Convert to fraction form
    9,241.38/13,842.45 = 8,580.42/x
  3. Step 3: Cross multiply
    9,241.38x = 13,842.45 × 8,580.42
  4. Step 4: Simplify right side
    9,241.38x = 118,774,034.83
  5. Step 5: Solve for x
    x = 118,774,034.83/9,241.38
  6. Step 6: Final answer
    x = 12,852.41

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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.