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Finding the Fourth Proportional to 9,608.90, 14,394.15 and 7,637.85

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Solution

The fourth proportional to 9,608.90, 14,394.15 and 7,637.85 is: 11,441.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,608.90 : 14,394.15 = 7,637.85 : x
  2. Step 2: Convert to fraction form
    9,608.90/14,394.15 = 7,637.85/x
  3. Step 3: Cross multiply
    9,608.90x = 14,394.15 × 7,637.85
  4. Step 4: Simplify right side
    9,608.90x = 109,940,358.58
  5. Step 5: Solve for x
    x = 109,940,358.58/9,608.90
  6. Step 6: Final answer
    x = 11,441.52

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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.