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Finding the Fourth Proportional to 9,411.80, 12,977.69 and 7,704.99

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Solution

The fourth proportional to 9,411.80, 12,977.69 and 7,704.99 is: 10,624.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,411.80 : 12,977.69 = 7,704.99 : x
  2. Step 2: Convert to fraction form
    9,411.80/12,977.69 = 7,704.99/x
  3. Step 3: Cross multiply
    9,411.80x = 12,977.69 × 7,704.99
  4. Step 4: Simplify right side
    9,411.80x = 99,992,933.15
  5. Step 5: Solve for x
    x = 99,992,933.15/9,411.80
  6. Step 6: Final answer
    x = 10,624.21

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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.