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Finding the Fourth Proportional to 9,677.60, 14,450.87 and 7,680.83

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Solution

The fourth proportional to 9,677.60, 14,450.87 and 7,680.83 is: 11,469.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,677.60 : 14,450.87 = 7,680.83 : x
  2. Step 2: Convert to fraction form
    9,677.60/14,450.87 = 7,680.83/x
  3. Step 3: Cross multiply
    9,677.60x = 14,450.87 × 7,680.83
  4. Step 4: Simplify right side
    9,677.60x = 110,994,565.16
  5. Step 5: Solve for x
    x = 110,994,565.16/9,677.60
  6. Step 6: Final answer
    x = 11,469.23

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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.