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Finding the Fourth Proportional to 9,645.50, 13,311.60 and 6,107.42

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Solution

The fourth proportional to 9,645.50, 13,311.60 and 6,107.42 is: 8,428.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,645.50 : 13,311.60 = 6,107.42 : x
  2. Step 2: Convert to fraction form
    9,645.50/13,311.60 = 6,107.42/x
  3. Step 3: Cross multiply
    9,645.50x = 13,311.60 × 6,107.42
  4. Step 4: Simplify right side
    9,645.50x = 81,299,532.07
  5. Step 5: Solve for x
    x = 81,299,532.07/9,645.50
  6. Step 6: Final answer
    x = 8,428.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.